Results 11 to 20 of about 17,115,327 (210)
On Periodic Groups Saturated with Finite Frobenius Groups
Известия Иркутского государственного университета: Серия "Математика", 2021 A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
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Journal of Pure and Applied Algebra, 2015 7 pages.
Caranti A, SCOPPOLA, CARLO MARIA
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Spectrum of commuting graphs of some classes of finite groups [PDF]
, 2016 In this paper, we initiate the study of spectrum of the commuting graphs of finite non-abelian groups. We first compute the spectrum of this graph for several classes of finite groups, in particular AC-groups.
J. Dutta, R. K. Nath
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Which finite simple groups are unit groups? [PDF]
, 2014 We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
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The Quarterly Journal of Mathematics, 1987 This paper deals with the problem of enumerating the number f(n) of isomorphism types of groups of order n. There are three results which give upper bounds for f(n). The first bound holds for arbitrary groups, the second one deals with solvable groups, while the third one applies to groups with abelian Sylow subgroups.
Mciver, A, Neumann, P
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A Study On the Kernels of Irreducible Characters of Finite Groups
Cumhuriyet Science Journal, 2022 Let G be a finite group and χ∈Irr(G), where Irr(G) denotes the set of all irreducible characters of G. The kernel of χ is defined by ker(χ)={ g∈G ┤| χ(g)=χ(1)}, where χ(1) is the character degree of χ. The irreducible character χ of G is called as
Temha Erkoç, Burcu Çınarcı
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Representations of Finite Groups
Group Theory for Physicists, 2019 . The workshop Representations of Finite Groups was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite
Andrew Baker
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Finite Groups Having Monolithic Characters of Prime Degree
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Let G be a finite group. An irreducible character χ is called monolithic when the factor group G/ker(χ) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime q dividing the order of G if G has a faithful imprimitive ...
Temha Erkoç, Burcu Çınarcı
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Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]
, 2005 We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel +40 more
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Inverse and stability theorems for approximate representations of finite groups [PDF]
, 2015 The -norm gives a useful measure of quasirandomness for real- or complex-valued functions defined on finite (or, more generally, locally compact) groups.
W. Gowers, O. Hatami
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