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Items Authored by Brin, Matthew G. |

@article {MR4241460, AUTHOR = {Bleak, Collin and Brin, Matthew G. and Moore, Justin Tatch}, TITLE = {Complexity among the finitely generated subgroups of {T}hompson's group}, JOURNAL = {J. Comb. Algebra}, FJOURNAL = {Journal of Combinatorial Algebra}, VOLUME = {5}, YEAR = {2021}, NUMBER = {1}, PAGES = {1--58}, ISSN = {2415-6302}, MRCLASS = {20E22 (20B07 20B10 20E07)}, MRNUMBER = {4241460}, DOI = {10.4171/jca/49}, URL = {https://doi.org/10.4171/jca/49}, } @article {MR3908771, AUTHOR = {Bleak, Collin and Brin, Matthew and Kassabov, Martin and Moore, Justin Tatch and Zaremsky, Matthew C. B.}, TITLE = {Groups of fast homeomorphisms of the interval and the ping-pong argument}, JOURNAL = {J. Comb. Algebra}, FJOURNAL = {Journal of Combinatorial Algebra}, VOLUME = {3}, YEAR = {2019}, NUMBER = {1}, PAGES = {1--40}, ISSN = {2415-6302}, MRCLASS = {20F65 (20B27 20E07)}, MRNUMBER = {3908771}, DOI = {10.4171/JCA/25}, URL = {https://doi.org/10.4171/JCA/25}, } @article {MR3109450, AUTHOR = {Bowlin, Garry and Brin, Matthew G.}, TITLE = {Coloring planar graphs via colored paths in the associahedra}, JOURNAL = {Internat. J. Algebra Comput.}, FJOURNAL = {International Journal of Algebra and Computation}, VOLUME = {23}, YEAR = {2013}, NUMBER = {6}, PAGES = {1337--1418}, ISSN = {0218-1967}, MRCLASS = {05C15 (05C10 05C20 05C30 20Fxx)}, MRNUMBER = {3109450}, DOI = {10.1142/S0218196713500276}, URL = {http://dx.doi.org/10.1142/S0218196713500276}, } @article {MR3057119, AUTHOR = {Brin, Matthew G. and Jones, Gareth A. and Singerman, David}, TITLE = {Commentary on {R}obert {R}iley's article ``{A} personal account of the discovery of hyperbolic structures on some knot complements''}, JOURNAL = {Expo. Math.}, FJOURNAL = {Expositiones Mathematicae}, VOLUME = {31}, YEAR = {2013}, NUMBER = {2}, PAGES = {99--103}, ISSN = {0723-0869}, MRCLASS = {57-03 (01A60 01A70)}, MRNUMBER = {3057119}, DOI = {10.1016/j.exmath.2013.01.002}, URL = {http://dx.doi.org/10.1016/j.exmath.2013.01.002}, } @article {MR2675931, AUTHOR = {Brin, Matthew G.}, TITLE = {On the baker's map and the simplicity of the higher dimensional {T}hompson groups {$nV$}}, JOURNAL = {Publ. Mat.}, FJOURNAL = {Publicacions Matem\`atiques}, VOLUME = {54}, YEAR = {2010}, NUMBER = {2}, PAGES = {433--439}, ISSN = {0214-1493}, MRCLASS = {20E32 (57M60)}, MRNUMBER = {2675931}, MRREVIEWER = {Eric Jaligot}, DOI = {10.5565/PUBLMAT_54210_07}, URL = {http://dx.doi.org/10.5565/PUBLMAT_54210_07}, } @article {MR2653970, AUTHOR = {Brin, Matthew G.}, TITLE = {The free group of rank 2 is a limit of {T}hompson's group {$F$}}, JOURNAL = {Groups Geom. Dyn.}, FJOURNAL = {Groups, Geometry, and Dynamics}, VOLUME = {4}, YEAR = {2010}, NUMBER = {3}, PAGES = {433--454}, ISSN = {1661-7207}, MRCLASS = {20F65 (20F69)}, MRNUMBER = {2653970}, DOI = {10.4171/GGD/90}, URL = {http://dx.doi.org/10.4171/GGD/90}, } @article {MR2364825, AUTHOR = {Brin, Matthew G.}, TITLE = {The algebra of strand splitting. {I}. {A} braided version of {T}hompson's group {$V$}}, JOURNAL = {J. Group Theory}, FJOURNAL = {Journal of Group Theory}, VOLUME = {10}, YEAR = {2007}, NUMBER = {6}, PAGES = {757--788}, ISSN = {1433-5883}, CODEN = {JGTHFQ}, MRCLASS = {20F65 (20F05 20F36)}, MRNUMBER = {2364825}, MRREVIEWER = {Zoran {\v{S}}uni{\'c}}, DOI = {10.1515/JGT.2007.055}, URL = {http://dx.doi.org/10.1515/JGT.2007.055}, } @article {MR2217649, AUTHOR = {Brin, Matthew G.}, TITLE = {The algebra of strand splitting. {II}. {A} presentation for the braid group on one strand}, JOURNAL = {Internat. J. Algebra Comput.}, FJOURNAL = {International Journal of Algebra and Computation}, VOLUME = {16}, YEAR = {2006}, NUMBER = {1}, PAGES = {203--219}, ISSN = {0218-1967}, MRCLASS = {20F05 (20B07 20F36)}, MRNUMBER = {2217649}, MRREVIEWER = {Daniel Matei}, DOI = {10.1142/S021819670600286X}, URL = {http://dx.doi.org/10.1142/S021819670600286X}, } @article {MR2160570, AUTHOR = {Brin, Matthew G.}, TITLE = {Elementary amenable subgroups of {R}. {T}hompson's group {$F$}}, JOURNAL = {Internat. J. Algebra Comput.}, FJOURNAL = {International Journal of Algebra and Computation}, VOLUME = {15}, YEAR = {2005}, NUMBER = {4}, PAGES = {619--642}, ISSN = {0218-1967}, MRCLASS = {20E07 (20E22 20F19 20F22)}, MRNUMBER = {2160570}, MRREVIEWER = {Jos{\'e} Burillo}, DOI = {10.1142/S0218196705002517}, URL = {http://dx.doi.org/10.1142/S0218196705002517}, } @article {MR2132873, AUTHOR = {Brin, Matthew G.}, TITLE = {Coherence of associativity in categories with multiplication}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {198}, YEAR = {2005}, NUMBER = {1-3}, PAGES = {57--65}, ISSN = {0022-4049}, CODEN = {JPAAA2}, MRCLASS = {18D10}, MRNUMBER = {2132873}, MRREVIEWER = {Julien Bichon}, DOI = {10.1016/j.jpaa.2004.10.008}, URL = {http://dx.doi.org/10.1016/j.jpaa.2004.10.008}, } @article {MR2124335, AUTHOR = {Brin, Matthew G.}, TITLE = {On the {Z}appa-{S}z\'ep product}, JOURNAL = {Comm. Algebra}, FJOURNAL = {Communications in Algebra}, VOLUME = {33}, YEAR = {2005}, NUMBER = {2}, PAGES = {393--424}, ISSN = {0092-7872}, CODEN = {COALDM}, MRCLASS = {20N02 (20M99)}, MRNUMBER = {2124335}, MRREVIEWER = {V{\={\i}}tal{\={\i}}{\u\i} M. Usenko}, DOI = {10.1081/AGB-200047404}, URL = {http://dx.doi.org/10.1081/AGB-200047404}, } @article {MR2114568, AUTHOR = {Brin, Matthew G.}, TITLE = {Presentations of higher dimensional {T}hompson groups}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {284}, YEAR = {2005}, NUMBER = {2}, PAGES = {520--558}, ISSN = {0021-8693}, CODEN = {JALGA4}, MRCLASS = {20F05}, MRNUMBER = {2114568}, MRREVIEWER = {Jos{\'e} Burillo}, DOI = {10.1016/j.jalgebra.2004.10.028}, URL = {http://dx.doi.org/10.1016/j.jalgebra.2004.10.028}, } @article {MR2112673, AUTHOR = {Brin, Matthew G.}, TITLE = {Higher dimensional {T}hompson groups}, JOURNAL = {Geom. Dedicata}, FJOURNAL = {Geometriae Dedicata}, VOLUME = {108}, YEAR = {2004}, PAGES = {163--192}, ISSN = {0046-5755}, CODEN = {GEMDAT}, MRCLASS = {20B27 (20E32 37B99 57M07)}, MRNUMBER = {2112673}, MRREVIEWER = {Wolfgang Knapp}, DOI = {10.1007/s10711-004-8122-9}, URL = {http://dx.doi.org/10.1007/s10711-004-8122-9}, } @article {MR1855112, AUTHOR = {Brin, Matthew G. and Squier, Craig C.}, TITLE = {Presentations, conjugacy, roots, and centralizers in groups of piecewise linear homeomorphisms of the real line}, JOURNAL = {Comm. Algebra}, FJOURNAL = {Communications in Algebra}, VOLUME = {29}, YEAR = {2001}, NUMBER = {10}, PAGES = {4557--4596}, ISSN = {0092-7872}, CODEN = {COALDM}, MRCLASS = {57S05 (20F65 57S25)}, MRNUMBER = {1855112}, MRREVIEWER = {Takashi Tsuboi}, DOI = {10.1081/AGB-100106774}, URL = {http://dx.doi.org/10.1081/AGB-100106774}, } @article {MR1724861, AUTHOR = {Brin, Matthew G.}, TITLE = {The ubiquity of {T}hompson's group {$F$} in groups of piecewise linear homeomorphisms of the unit interval}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = {60}, YEAR = {1999}, NUMBER = {2}, PAGES = {449--460}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {20F38 (57M07)}, MRNUMBER = {1724861}, MRREVIEWER = {Darryl McCullough}, DOI = {10.1112/S0024610799007905}, URL = {http://dx.doi.org/10.1112/S0024610799007905}, } @article {MR1620674, AUTHOR = {Brin, Matthew G. and Guzm{\'a}n, Fernando}, TITLE = {Automorphisms of generalized {T}hompson groups}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {203}, YEAR = {1998}, NUMBER = {1}, PAGES = {285--348}, ISSN = {0021-8693}, CODEN = {JALGA4}, MRCLASS = {20F28}, MRNUMBER = {1620674}, MRREVIEWER = {D. E. Cohen}, DOI = {10.1006/jabr.1997.7315}, URL = {http://dx.doi.org/10.1006/jabr.1997.7315}, } @article {MR1441005, AUTHOR = {Brin, Matthew G.}, TITLE = {The chameleon groups of {R}ichard {J}. {T}hompson: automorphisms and dynamics}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques}, NUMBER = {84}, YEAR = {1996}, PAGES = {5--33 (1997)}, ISSN = {0073-8301}, CODEN = {PMIHA6}, MRCLASS = {57M07 (20F38)}, MRNUMBER = {1441005}, MRREVIEWER = {Darryl McCullough}, URL = {http://www.numdam.org/item?id=PMIHES_1996__84__5_0}, } @article {MR992161, AUTHOR = {Brin, Matthew G. and Thickstun, T. L.}, TITLE = {{$3$}-manifolds which are end {$1$}-movable}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {81}, YEAR = {1989}, NUMBER = {411}, PAGES = {viii+73}, ISSN = {0065-9266}, CODEN = {MAMCAU}, MRCLASS = {57N10 (57M10 57N65)}, MRNUMBER = {992161}, MRREVIEWER = {John Hempel}, DOI = {10.1090/memo/0411}, URL = {http://dx.doi.org/10.1090/memo/0411}, } @article {MR982866, AUTHOR = {Brin, Matthew G. and Rauschenberg, David E. and Squier, Craig C.}, TITLE = {On the genus of the semidirect product of {$Z_9$} by {$Z_3$}}, JOURNAL = {J. Graph Theory}, FJOURNAL = {Journal of Graph Theory}, VOLUME = {13}, YEAR = {1989}, NUMBER = {1}, PAGES = {49--61}, ISSN = {0364-9024}, CODEN = {JGTHDO}, MRCLASS = {05C10 (05C25 20F32)}, MRNUMBER = {982866}, MRREVIEWER = {Arthur T. White}, DOI = {10.1002/jgt.3190130108}, URL = {http://dx.doi.org/10.1002/jgt.3190130108}, } @article {MR957185, AUTHOR = {Brin, Matthew G. and Squier, Craig C.}, TITLE = {On the genus of {$Z_3\times Z_3\times Z_3$}}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {9}, YEAR = {1988}, NUMBER = {5}, PAGES = {431--443}, ISSN = {0195-6698}, MRCLASS = {05C10 (05C25 20F32)}, MRNUMBER = {957185}, MRREVIEWER = {Arthur T. White}, DOI = {10.1016/S0195-6698(88)80002-7}, URL = {http://dx.doi.org/10.1016/S0195-6698(88)80002-7}, } @article {MR895574, AUTHOR = {Brin, Matthew G. and Thickstun, T. L.}, TITLE = {Open, irreducible {$3$}-manifolds which are end {$1$}-movable}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {26}, YEAR = {1987}, NUMBER = {2}, PAGES = {211--233}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57N10 (57M35)}, MRNUMBER = {895574}, MRREVIEWER = {D. Repov{\v{s}}}, DOI = {10.1016/0040-9383(87)90062-0}, URL = {http://dx.doi.org/10.1016/0040-9383(87)90062-0}, } @article {MR872811, AUTHOR = {Brin, Matthew G. and Thickstun, T. L.}, TITLE = {On properly embedding noncompact surfaces in arbitrary {$3$}-manifolds}, JOURNAL = {Proc. London Math. Soc. (3)}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {54}, YEAR = {1987}, NUMBER = {2}, PAGES = {350--366}, ISSN = {0024-6115}, CODEN = {PLMTAL}, MRCLASS = {57N10 (57M35)}, MRNUMBER = {872811}, MRREVIEWER = {Shin'ichi Suzuki}, DOI = {10.1112/plms/s3-54.2.350}, URL = {http://dx.doi.org/10.1112/plms/s3-54.2.350}, } @article {MR784012, AUTHOR = {Brin, Matthew G. and Thickstun, T. L.}, TITLE = {On the proper {S}teenrod homotopy groups, and proper embeddings of planes into {$3$}-manifolds}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {289}, YEAR = {1985}, NUMBER = {2}, PAGES = {737--755}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57N65 (57N10)}, MRNUMBER = {784012}, MRREVIEWER = {Du{\v{s}}an Repov{\v{s}}}, DOI = {10.2307/2000261}, URL = {http://dx.doi.org/10.2307/2000261}, } @article {MR783014, AUTHOR = {Brin, Matthew and Johannson, Klaus and Scott, Peter}, TITLE = {Totally peripheral {$3$}-manifolds}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {118}, YEAR = {1985}, NUMBER = {1}, PAGES = {37--51}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57N10 (57M05)}, MRNUMBER = {783014}, MRREVIEWER = {John Hempel}, URL = {http://projecteuclid.org/euclid.pjm/1102706662}, } @article {MR782231, AUTHOR = {Brin, Matthew G. and Squier, Craig C.}, TITLE = {Groups of piecewise linear homeomorphisms of the real line}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {79}, YEAR = {1985}, NUMBER = {3}, PAGES = {485--498}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {57S05 (20F32 57S25)}, MRNUMBER = {782231}, MRREVIEWER = {Bruno Zimmermann}, DOI = {10.1007/BF01388519}, URL = {http://dx.doi.org/10.1007/BF01388519}, } @incollection {MR711988, AUTHOR = {Brin, M.}, TITLE = {Curves isotopic to tame curves}, BOOKTITLE = {Continua, decompositions, manifolds ({A}ustin, {T}ex., 1980)}, PAGES = {163--166}, PUBLISHER = {Univ. Texas Press, Austin, TX}, YEAR = {1983}, MRCLASS = {57N12 (57N37)}, MRNUMBER = {711988}, MRREVIEWER = {R. J. Daverman}, } @article {MR638170, AUTHOR = {Brin, Matthew G. and McMillan, Jr., D. R.}, TITLE = {Generalized three-manifolds with zero-dimensional nonmanifold set}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {97}, YEAR = {1981}, NUMBER = {1}, PAGES = {29--58}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {57P05 (57N10)}, MRNUMBER = {638170}, MRREVIEWER = {Jo{\v{z}}e Vrabec}, URL = {http://projecteuclid.org/euclid.pjm/1102734652}, } @article {MR617371, AUTHOR = {Brin, Matthew G.}, TITLE = {Torsion free actions on {$1$}-acyclic manifolds and the loop theorem}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {20}, YEAR = {1981}, NUMBER = {4}, PAGES = {353--363}, ISSN = {0040-9383}, CODEN = {TPLGAF}, MRCLASS = {57M35}, MRNUMBER = {617371}, MRREVIEWER = {John Hempel}, DOI = {10.1016/0040-9383(81)90019-7}, URL = {http://dx.doi.org/10.1016/0040-9383(81)90019-7}, } @article {MR603780, AUTHOR = {Brin, Matthew G.}, TITLE = {Generalized {$3$}-manifolds whose nonmanifold set has neighborhoods bounded by tori}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {264}, YEAR = {1981}, NUMBER = {2}, PAGES = {539--555}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {57P99 (57N10)}, MRNUMBER = {603780}, MRREVIEWER = {D. R. McMillan, Jr.}, DOI = {10.2307/1998556}, URL = {http://dx.doi.org/10.2307/1998556}, } @article {MR0494116, AUTHOR = {Brin, Matthew G.}, TITLE = {Improving {$3$}-manifold compactifications of open {$3$}-manifolds}, JOURNAL = {Houston J. Math.}, FJOURNAL = {Houston Journal of Mathematics}, VOLUME = {4}, YEAR = {1978}, NUMBER = {2}, PAGES = {149--163}, ISSN = {0362-1588}, MRCLASS = {57A10}, MRNUMBER = {0494116}, MRREVIEWER = {R. C. Kirby}, } @article {MR0375317, AUTHOR = {Berge, J. O. and Brin, Matthew G.}, TITLE = {A handlebody with one pillbox has no fake {$3$}-cells}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {52}, YEAR = {1975}, PAGES = {390--392}, ISSN = {0002-9939}, MRCLASS = {57A10}, MRNUMBER = {0375317}, MRREVIEWER = {C. D. Feustel}, }

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