Results 1 to 10 of about 1,360,991 (145)

SIMPLE GROUPS STABILIZING POLYNOMIALS [PDF]

Forum of Mathematics, Pi, 2015
We study the problem of determining, for a polynomial function $f$ on a vector space $V$, the linear transformations $g$ of $V$ such that $f\circ g=f$. When $f$ is invariant under a simple algebraic group $G$ acting irreducibly on $V$, we note that the ...
SKIP GARIBALDI, ROBERT M. GURALNICK
doaj   +4 more sources

Finite simple groups as expanders. [PDF]

Proc 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

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   +6 more sources

Alperin weight conjecture and related developments

Bulletin of Mathematical Sciences, 2022
The Alperin weight conjecture is central to the modern representation theory of finite groups, and it is still open, despite many different approaches from different points of view.
Zhicheng Feng, Jiping Zhang
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Finite groups whose maximal subgroups of even order are MSN-groups

Open Mathematics, 2022
A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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A new characterization of some characteristically simple groups [PDF]

AUT Journal of Mathematics and Computing, 2023
Let $G$ be a finite group and $\mathrm{cd}(G)$ be the set of irreducible complex character degrees of $G$. It was proved that some finite simple groups are uniquely determined by their orders and their degree graphs.
Zohreh Sayanjali
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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
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Simple polyadic groups

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.
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Cohomology of simple modules for algebraic groups

Қарағанды 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, L.S. Kainbaeva, S.K. Menlikhozhayeva   +2 more
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Some properties of finite generalized-groups [PDF]

Journal 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
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