Results 11 to 20 of about 661 (227)
PRESENTATIONS OF AFFINE KAC–MOODY GROUPS [PDF]
Forum of Mathematics, Sigma, 2018 How many generators and relations does $\text{SL}\,_{n}(\mathbb{F}_{q}[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. We investigate presentations of affine Kac–Moody groups over finite fields.
INNA CAPDEBOSCQ +2 more
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Coherent Presentations of Monoidal Categories [PDF]
Logical Methods in Computer Science, 2017 Presentations of categories are a well-known algebraic tool to provide descriptions of categories by means of generators, for objects and morphisms, and relations on morphisms.
Pierre-Louis Curien, Samuel Mimram
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On Efficient Presentations of the Groups PSL $(2, m)$ [PDF]
International Journal of Group Theory, 2022 We exhibit presentations of the Von Dyck groups $D(2, 3, m), \ m\ge 3$, in terms of two generators of order $m$ satisfying three relations, one of which is Artin's braid relation. By dropping the relation which fixes the order of the generators we obtain
Orlin Stoytchev
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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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The SQ universality of some small cancellation groups [PDF]
, 1977 PhDA group G is a small cancellation group if, roughly, it has a presentation G=
Al-Janabi, Mohammed Abdul-Razzak
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Green index in semigroups : generators, presentations and automatic structures [PDF]
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +5 more
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, 2012 In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
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Presentations of topological full groups by generators and relations
Journal of Algebra, 2018 Let \((\Omega,T)\) be a minimal subshift over a finite alphabet: \(\Omega\) is a closed subset of \(X^{\mathbb Z}\) for a finite alphabet \(X\), invariant under the shift map \(T\), and minimal under these conditions. The associated \textit{topological full group} is the group of self-homeomorphisms of \(\Omega\) that are piecewise powers of \(T\).
Grigorchuk, Rostislav, Medynets, Kostya
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The (CO)homology of groups given by presentations in which each defining relator involves at most two types of generators [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992 AbstractOur set-up will consist of the following: (i) a graph with vertex set V and edge set E; (ii) for each vertex ∈ V a non-trivial group Gv given by a presentation (xν; rν); (iii) for each edge e = {u, ν} ∈ E a group Ge given by a presentation (xu, xv; re) where re consists of the elements of ru ∪ rv, together with some further words on xu ∪ xv. We
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Presentations of Topological Full Groups by Generators and Relations
, 2015 We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the word problem in a topological full group is solvable if and only if the language of the underlying subshift is recursive.
Grigorchuk, Rostislav +1 more
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