Results 21 to 30 of about 163,853 (170)

Speed of convergence of complementary probabilities on finite group

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
Let function P be a probability on a finite group G, i.e. $P(g)\geq0\ $ $(g\in G),\ \sum\limits_{g}P(g)=1$ (we write $\sum\limits_{g}$ instead of $\sum\limits_{g\in G})$.
Alexander Vyshnevetskiy
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On Factorised Finite Groups [PDF]

Mediterranean Journal of Mathematics, 2020
[EN] A subgroup H of a finite group G is called P-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two P-subnormal subgroups is showed.
A. Ballester-Bolinches, Y. Li, M. C. Pedraza-Aguilera, Ning Su   +3 more
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Finite Groups whose Cyclic Subnormal Subgroups Satisfy Certain Permutability Conditions [PDF]

Advances in Group Theory and Applications, 2016
Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminormal are investigated.
A. Ballester-Bolinches, J.C. Beidleman, V. Pérez-Calabuig   +2 more
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Integral forms in vertex operator algebras, a survey [PDF]

International Journal of Group Theory, 2020
We give a brief survey of recent work on integral forms in vertex operator algebras (VOAs).
Robert Griess
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Construction of Finite Groups

Journal of Symbolic Computation, 1999
The authors give an algorithm to determine all groups of a given order up to isomorphism. Following a suggestion of \textit{W. Gaschütz} [Math. Z. 58, 160-170 (1953; Zbl 0050.02202)] they first construct the possible solvable Frattini factors \(G/\Phi(G)\). These factors are obtained as subdirect products of irreducible subgroups of \(\text{GL}(d,q)\).
Hans Ulrich Besche, Bettina Eick
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Extraspecially Irreducible Groups [PDF]

Advances in Group Theory and Applications, 2016
Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
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A new approach to character-free proof for Frobenius theorem [PDF]

AUT Journal of Mathematics and Computing, 2023
Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it,
Seyedeh Fatemeh Arfaeezarandi, Vahid Shahverdi   +1 more
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Finite Groups as Isometry Groups [PDF]

Transactions of the American Mathematical Society, 1976
We show that given any finite group G of cardinality k + 1 k
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Quotient Groups of Finite Groups [PDF]

Proceedings of the American Mathematical Society, 1984
Assume H H and H 0 {H_0} are subgroups of the finite group G G with H 0 ⧋ H H_0 \triangleubar H .
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ACENTRALIZERS OF GROUPS OF ORDER p3 [PDF]

Journal of Algebraic Systems, 2023
‎Suppose that $G$ is a finite group. ‎The acentralizer $C_G(\alpha)$ of an automorphism $\alpha$ of $G$‎,‎is defined as the subgroup of fixed points of $\alpha$‎, ‎that is $C_G(\alpha)= \{g \in G \mid \alpha(g)=g\}$‎.‎In this paper we determine the ...
Zahra Mozafar, Bijan Taeri
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