Results 11 to 20 of about 5,163,657 (332)

Simple polyadic groups

open access: yesSiberian 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

Cohomology of simple modules for algebraic groups

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev   +2 more
doaj   +1 more source

Finite Groups Isospectral to Simple Groups

open access: yesCommunications 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

Finite simple groups as expanders. [PDF]

open access: yesProc Natl Acad Sci U S A, 2006
We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov M, Lubotzky A, Nikolov N.
europepmc   +5 more sources

Conjugate factorizations of finite groups [PDF]

open access: yesInternational Journal of Group Theory, 2015
In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar'oti and Iulian I. Simion.
Martino Garonzi
doaj  

Some properties of finite generalized-groups [PDF]

open access: yesJournal of Mahani Mathematical Research
In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
doaj   +1 more source

New Beauville surfaces and finite simple groups [PDF]

open access: yes, 2011
In this paper we construct new Beauville surfaces with group either $\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer ...
Garion, Shelly, Penegini, Matteo
core   +5 more sources

Simple Lie groups without the Approximation Property [PDF]

open access: yes, 2013
For a locally compact group G, let A(G) denote its Fourier algebra, and let M_0A(G) denote the space of completely bounded Fourier multipliers on G.
De Laat, Tim, Uffe Haagerup
core   +2 more sources

Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
doaj   +1 more source

Simple archimedean dimension groups [PDF]

open access: yesProceedings of the American Mathematical Society, 2013
We answer a question of Goodearl, by constructing for every metrizable Choquet simplex, a dimension group that is simple and archimedean and whose trace space is the desired Choquet simplex.
openaire   +3 more sources

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