Results 11 to 20 of about 25,178,865 (330)
ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]
Journal of the Australian Mathematical Society, 2016 The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
A. Lucchini +2 more
semanticscholar +4 more sources
Simple groups contain minimal simple groups [PDF]
Publicacions Matemàtiques, 1997 It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
Barry, M. J. J., Ward, M. B.
openaire +4 more sources
The infinite simple group V of Richard J. Thompson : presentations by permutations [PDF]
, 2015 We show that one can naturally describe elements of R. Thompson's finitely presented infinite simple group $V$, known by Thompson to have a presentation with four generators and fourteen relations, as products of permutations analogous to transpositions.
Collin Bleak, M. Quick
semanticscholar +1 more source
Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
doaj +1 more source
Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics, 2022 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Maria A. Grechkoseeva +4 more
openaire +3 more sources
Integral group ring of the first Mathieu simple group [PDF]
, 2007 We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
core +2 more sources
On Group-Vertex-Magic Labeling of Simple Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq +2 more
doaj +1 more source
Simple relations in the Cremona group [PDF]
, 2010 We give a simple set of generators and relations for the Cremona group of the plane. Namely, we show that the Cremona group is the amalgamated product of the de Jonqui\`eres group with the group of automorphisms of the plane, divided by one relation ...
Blanc, Jérémy
core +3 more sources
Röver's Simple Group Is of Type $F_\infty$ [PDF]
, 2013 We prove that Claas Rover's Thompson-Grigorchuk simple group V G has type F∞. The proof involves constructing two complexes on which V G acts: a simplicial complex analogous to the Stein complex for V , and a polysimplicial complex analogous to the ...
J. Belk, Francesco Matucci
semanticscholar +1 more source
The first example of a simple 2−(81,6,2) design
Examples and Counterexamples, 2021 We give the very first example of a simple 2−(81,6,2)design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4-dimensional geometry over the field of order 3.
Anamari Nakic
doaj +1 more source