Results 1 to 10 of about 367 (86)
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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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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PRESENTATIONS OF AFFINE KAC–MOODY GROUPS
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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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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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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Digraph Groups Without Leaf Having An Arc Count One Greater Than Their Vertex
Cumhuriyet Science JournalThis paper investigates a particular class of digraph groups that are defined by non-empty balanced presentations. Each relation is expressed in the form R(x,y), where x and y are distinct generators, and R(⋅,⋅) is based on a fixed cyclically reduced ...
Mehmet Sefa Cihan
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π 1 of Miranda moduli spaces of elliptic surfaces. [PDF]
Boll Unione Mat Ital (2008), 2022 Lönne M.
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Presentations for vertex-transitive graphs. [PDF]
J Algebr Comb (Dordr), 2022 Georgakopoulos A, Wendland A.
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Brauer and partition diagram models for phylogenetic trees and forests. [PDF]
Proc Math Phys Eng Sci, 2022 Francis A, Jarvis PD.
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