Results 151 to 160 of about 39,756 (284)
The pants graph of a free group
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley +1 more source
On the automorphism group of a matroid
Discrete Mathematics, 1972 AbstractWe show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H.
Harary, Frank +2 more
openaire +3 more sources
The probability of generating a finite simple group
, 2013 We study the probability of generating a finite simple group, together with its generalisation PG,socG(d), the conditional probability of generating an almost simple finite group G by d elements, given that these elements generate G/ socG.
Colva M. Roney-Dougal +5 more
core +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
IEEE Access, 2019 A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
doaj +1 more source
Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
doaj +1 more source
The automorphism groups and derivation algebras of two-dimensional algebras
, 2018 The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are ...
Bekbaev, Ural +2 more
core +1 more source
Tree almost automorphism groups: elements and subgroups
, 2017 (Joint work with A. Le Boudec) We begin by giving a detailed overview of the tree almost automorphism groups and describing their relationship to Higman-Thompson groups and topological full groups.
Wesolek, Phillip
core
Automorphisms and coverings of Klein surfaces
, 1977 In this thesis the theory of automorphisms and coverings of compact Klein surfaces is discussed by considering a Klein surface as the orbit space of a non-Euclidean crystallographic group.
Hall, Wendy
core
Automorphism-Groups Of Real Algebraic-Curves Of Genus-3
, 1986 Let C be an algebraic curve of genus 3, defined over the real field R. The automorphism group of C is studied in this paper. In a paper by the same authors [Mich. Math. J. 33, 55-74 (1986; see 20043 below)], the hyperelliptic case was solved, the authors
Bujalance García, Emilio +2 more
core +1 more source