Results 11 to 20 of about 167 (114)
Mobius Group Generated by Two Elements of Order 2, 4, and Reduced Quadratic Irrational Numbers [PDF]
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The construction of circuits for the evolution of orbits and reduced quadratic irrational numbers under the action of Mobius groups have many applications like in construction of substitution box (s‐box), strong‐substitution box (s.s‐box), image processing, data encryption, in interest for security experts, and other fields of sciences.
Dilshad Alghazzawi +5 more
wiley +2 more sources
Hypermaps Over Non-Abelian Simple Groups and Strongly Symmetric Generating Sets [PDF]
, 2023 A generating pair x, y for a group G is said to be symmetric if there exists an automorphism φx,y of G inverting both x and y, that is, xφx,y = x−1 and yφx,y = y−1.
Spiga P., Lucchini A.
core +1 more source
, 2021 In this paper we define a way to get a bounded invertible automaton starting from a finite graph. It turns out that the corresponding automaton group is regular weakly branch over its commutator subgroup, contains a free semigroup on two elements and is ...
Donno A. +3 more
core +1 more source
The Structures of Non-Coprime Graphs for Finite Groups from Dihedral Groups with Regular Composite Orders [PDF]
, 2023 For any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (
Wahyu Ulyafandhie Misuki +5 more
core +1 more source
Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 151-173, December 2021., 2021 Abstract The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands. In this case, it is a hyperbolic graph, by the celebrated Masur–Minsky's theorem.
Matthieu Calvez +1 more
wiley +1 more source
Deforming cubulations of hyperbolic groups
Journal of Topology, Volume 14, Issue 3, Page 877-912, September 2021., 2021 Abstract We describe a procedure to deform cubulations of hyperbolic groups by ‘bending hyperplanes’. Our construction is inspired by related constructions like Thurston's Mickey Mouse example, walls in fibred hyperbolic 3‐manifolds and free‐by‐Z groups, and Hsu–Wise turns.
Elia Fioravanti, Mark Hagen
wiley +1 more source
(Un)distorted stabilisers in the handlebody group
Journal of Topology, Volume 14, Issue 2, Page 460-487, June 2021., 2021 Abstract We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exponentially distorted for large enough genus.
Sebastian Hensel
wiley +1 more source
Quasi‐isometric diversity of marked groups
Journal of Topology, Volume 14, Issue 2, Page 488-503, June 2021., 2021 Abstract We use basic tools of descriptive set theory to prove that a closed set S of marked groups has 2ℵ0 quasi‐isometry classes, provided that every non‐empty open subset of S contains at least two non‐quasi‐isometric groups. It follows that every perfect set of marked groups having a dense subset of finitely presented groups contains 2ℵ0 quasi ...
A. Minasyan, D. Osin, S. Witzel
wiley +1 more source
Commuting involution graphs for [(A)\tilde]n [PDF]
, 2006 In this article we consider the commuting graphs of involution conjugacy classes in the affine Weyl group A~n. We show that where the graph is connected the diameter is at most 6.
Hart, Sarah, Hart, Sarah B.
core +1 more source
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 259-273, February 2021., 2021 Abstract We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups.
Matthew B. Day +2 more
wiley +1 more source