Results 21 to 30 of about 25,178,865 (330)
Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
doaj +1 more source
The Little Higgs from a Simple Group [PDF]
, 2003 We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model SU(2) x U(1) into an SU(4) x U(1) gauge group, one-loop quadratic divergences to the Higgs mass from gauge and
A. Nelson +24 more
core +2 more sources
On the tree-number of the power graph associated with some finite groups [PDF]
AUT Journal of Mathematics and ComputingGiven a group G, we define the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if ⟨x⟩ ⊆ ⟨y⟩ or ⟨y⟩ ⊆ ⟨x⟩.
Sakineh Rahbariyan
doaj +1 more source
On conjugacy classes of the Klein simple group in Cremona group [PDF]
, 2015 We consider countably many three dimensional $\mathtt{PSL}_2(\mathbb{F}_7)$-del Pezzo surface fibrations over $\mathbb{P}^1$. Conjecturally they are all irrational except two families, one of which is the product of a del Pezzo surface with $\mathbb{P}^1$
Ahmadinezhad, Hamid
core +2 more sources
Siberian Mathematical Journal, 2014 The main aim of this article is to establish a classification of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraically simpleness), and group theory, GTS (group theoretically simpleness ...
Khodabandeh, H., Shahryari, M.
openaire +2 more sources
THE EASY APPROACH TO GROUP AGENCY. A SIMPLE REALIST VIEW ON GROUP AGENTS
Studia Universitatis Babeș-Bolyai. Philosophia, 2021 We talk about groups as doing something, we talk as if groups have agency. Is our talk legitimate? Are there group agents? Is there something like group agency?
Andreea POPESCU
doaj +1 more source
Blocks of group algebras are derived simple [PDF]
, 2011 A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements.
Liu, Qunhua, Yang, Dong
core +1 more source
On a conjecture on simple groups [PDF]
Proceedings of the American Mathematical Society, 1950 The purpose of this paper is to rephrase a conjecture about simple groups into the language of linear algebra. Let G be a group of finite order o(G). Then by rF we shall mean the group ring of G over a field of characteristic p (for instance the integers modulo p). We shall denote the radical of rF by N,. If p = 0 or p o(G), then it is known that Np=(O)
openaire +2 more sources
A new characterization of L2(p2)
Open Mathematics, 2020 For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi +4 more
doaj +1 more source
On conjugacy classes of the F4 group over a field q with characteristic 2
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 This article continues a series of papers devoted to solving the problem by which a non-identity conjugacy class in a finite simple non-abelian group contains commuting elements. Previously, this statement was tested for sporadic, projective, alternating
Yurova Nadezhda
doaj +1 more source