Results 11 to 20 of about 15,309,834 (359)
A probabilistic version of a theorem of lászló kovács and hyo-seob sim [PDF]
For a finite group group, denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group.
Andrea Lucchini, Mariapia Moscatiello
doaj +1 more source
On Periodic Groups Saturated with Finite Frobenius Groups
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
doaj +1 more source
Spectrum of commuting graphs of some classes of finite groups [PDF]
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
semanticscholar +1 more source
7 pages.
Caranti A, SCOPPOLA, CARLO MARIA
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Which finite simple groups are unit groups? [PDF]
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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Inverse and stability theorems for approximate representations of finite groups [PDF]
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
semanticscholar +1 more source
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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Neutrino mixing from finite modular groups [PDF]
We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus.
Tatsuo C. Kobayashi +2 more
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Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]
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
core +3 more sources
Rokhlin dimension for actions of residually finite groups [PDF]
We introduce the concept of Rokhlin dimension for actions of residually finite groups on $\text{C}^{\ast }$ -algebras, extending previous such notions for actions of finite groups and the integers by Hirshberg, Winter and the third author. We are able to
G. Szabó, Jianchao Wu, J. Zacharias
semanticscholar +1 more source

