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pro vyhledávání: '"G. Brin"'
Publikováno v:
Journal of Combinatorial Algebra. 5:1-58
We demonstrate the existence of a family of finitely generated subgroups of Richard Thompson's group $F$ which is strictly well-ordered by the embeddability relation in type $\epsilon_0 +1$. All except the maximum element of this family (which is $F$
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab0d86a8773b55b6cabbbb487f5a08f5
https://doi.org/10.4171/jca/49
https://doi.org/10.4171/jca/49
Akademický článek
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We adapt the Ping-Pong Lemma, which historically was used to study free products of groups, to the setting of the homeomorphism group of the unit interval. As a consequence, we isolate a large class of generating sets for subgroups of $\mathrm{Homeo}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8a7e733fb16c85048ad288ea921a008
http://arxiv.org/abs/1701.08321
http://arxiv.org/abs/1701.08321
Autor:
Matthew G. Brin, Garry S. Bowlin
Publikováno v:
International Journal of Algebra and Computation. 23:1337-1418
Hassler Whitney's theorem of 1931 reduces the task of finding proper, vertex 4-colorings of triangulations of the 2-sphere to finding such colorings for the class \(\mathfrak H\) of triangulations of the 2-sphere that have a Hamiltonian circuit. This
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c227ba4b9165451a30783c2fa2043088
https://doi.org/10.1142/s0218196713500276
https://doi.org/10.1142/s0218196713500276
Publikováno v:
Expositiones Mathematicae. 31:99-103
We give some background and biographical commentary on the postumous article that appears in this [journal issue | ArXiv] by Robert Riley on his part of the early history of hyperbolic structures on some compact 3-manifolds. A complete list of Riley'
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b28f658a9564e3464498f55bc33a5bd
https://doi.org/10.1016/j.exmath.2013.01.002
https://doi.org/10.1016/j.exmath.2013.01.002
Autor:
Matthew G. Brin
Publikováno v:
Publicacions Matemàtiques. 54:433-439
We show that the baker’s map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson’s group V applies with equal brevity to the higher dime
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https://explore.openaire.eu/search/publication?articleId=doi_________::00c19bca88a1c2d45f4b18218cb32caa
https://doi.org/10.5565/publmat_54210_07
https://doi.org/10.5565/publmat_54210_07
Autor:
Matthew G. Brin
Publikováno v:
International Journal of Algebra and Computation. 16:203-219
Presentations are computed for a braided version BV of Thompson's group V and for V itself showing that there is an Artin group/Coxeter group relation between them. The presentation for V is obtained from that for BV by declaring all that all generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ede26d0ee7d49e3967ef1e580dbf3a59
https://doi.org/10.1142/s021819670600286x
https://doi.org/10.1142/s021819670600286x
Autor:
Matthew G. Brin
Publikováno v:
International Journal of Algebra and Computation. 15:619-642
The subgroup structure of Thompson's group F is not yet fully understood. The group F is a subgroup of the group PL(I) of orientation preserving, piecewise linear self homeomorphisms of the unit interval and this larger group thus also has a poorly u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::422463be932dcca8d4e510555d55ee8c
https://doi.org/10.1142/s0218196705002517
https://doi.org/10.1142/s0218196705002517
Autor:
Matthew G. Brin
Publikováno v:
Journal of Pure and Applied Algebra. 198(1-3):57-65
The usual coherence theorem of MacLane for categories with multiplication assumes that a certain pentagonal diagram commutes in order to conclude that associativity isomorphisms are well defined in a certain practical sense. The practical aspects inc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a13f5bd513f7e899848144efec41b00
Autor:
Craig C. Squier, Matthew G. Brin
Publikováno v:
Communications in Algebra. 29:4557-4596
For an open interval (bounded or unbounded) of the real line R, we consider groups of the form PLF(S) consisting of those piecewise linear, order preserving homeomorphisms of R that have finitely m...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c2ce29874eec03b8cb4205a25818f4b
https://doi.org/10.1081/agb-100106774
https://doi.org/10.1081/agb-100106774