Results 21 to 30 of about 5,391,081 (192)
Right-angled Artin groups as finite-index subgroups of their outer automorphism groups
, 2022 We prove that every right-angled Artin group occurs as a finite-index subgroup of the outer automorphism group of another right-angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic to $(
Wiedmer, Manuel
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PALINDROMES AND ORDERINGS IN ARTIN GROUPS [PDF]
Journal of Knot Theory and Its Ramifications, 2010 The braid group Bn, endowed with Artin's presentation, admits two distinguished involutions. One is the anti-automorphism rev : Bn→Bn, [Formula: see text], defined by reading braids in the reverse order (from right to left instead of left to right).
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Artin groups of Euclidean type [PDF]
Inventiones mathematicae, 2017 This article resolves several long-standing conjectures about Artin groups of euclidean type. In particular, we prove that every irreducible euclidean Artin group is a torsion-free centerless group with a decidable word problem and a finite-dimensional classifying space.
McCammond, Jon, Sulway, Robert
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No Uncountable Polish Group Can be a Right-Angled Artin Group
Axioms, 2017 We prove that if G is a Polish group and A a group admitting a system of generators whose associated length function satisfies: (i) if 0 < k < ω , then l g ( x ) ≤ l g ( x k ) ; (ii) if l g ( y ) < k < ω and x
Gianluca Paolini, Saharon Shelah
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The Tits alternative for non-spherical Pride groups [PDF]
, 2008 Pride groups, or 'groups given by presentations in which each defining relator involves at most two types of generators', include Coxeter groups, Artin groups, triangles of groups, and Vinberg's groups defined by periodic paired relations.
Williams, Gerald +5 more
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Conjugacy in relatively extra-large Artin groups [PDF]
International Journal of Group Theory, 2015 Let A be an Artin group with standard generators X={x 1 ,…,x n } , n≥1 and defining graph Γ A . A \emph{standard parabolic subgroup} of A is a subgroup generated by a subset of X .
Arye Juhasz
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A polynomial algorithm for the braid double shielded public key cryptosystems
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 We propose new provable practical deterministic polynomial time algorithm of cryptographic analysis for the braid Wang, Xu, Li, Lin and Wang «Double shielded public key cryptosystems», where the authors recommended the Artin braid groups Bn as platforms
V.A. Roman’kov
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Characterising large-type Artin groups [PDF]
, 2023 We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large-type Artin groups (i ...
Vaskou, Nicolas, Martin, Alexandre
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Relative hyperbolicity and Artin groups [PDF]
Geometriae Dedicata, 2007 This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups if and only if its Deligne complex is a Gromov hyperbolic space. For a 2-dimensional Artin group the
Charney, Ruth, Crisp, John
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Die Korrespondenz 1923-1934 [PDF]
, 2008 Hardcover, 502 S.: 37,00 €Hardcover, 17x24This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library.
Hasse, Helmut +6 more
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