Results 11 to 20 of about 481 (193)
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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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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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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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Advanced Engineering Materials, EarlyView.This article presents the NFDI‐MatWerk Ontology (MWO), a Basic Formal Ontology‐based framework for interoperable research data management in materials science and engineering (MSE). Covering consortium structures, research data management resources, services, and instruments, MWO enables semantic integration, Findable, Accessible, Interoperable, and ...
Hossein Beygi Nasrabadi +4 more
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Journal of Pure and Applied AlgebrazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cihan, Mehmet Sefa, Williams, Gerald
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