Results 11 to 20 of about 58,853 (262)
On non-normal cyclic subgroups of prime order or order 4 of finite groups
Open Mathematics, 2021 In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG.
Guo Pengfei, Han Zhangjia
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The nilpotent ( p-group) of (D25 X C2n) for m > 5 [PDF]
Journal of Fuzzy Extension and Applications, 2023 Every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adesina Adebisi +2 more
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Finite Groups with Partially σ-Subnormal Subgroups in Short Maximal Chains [PDF]
Advances in Group Theory and Applications, 2021 Throughout this paper, all groups are finite and G always denotes a finite group. Let sigma be a partition of the set of all primes. The group G is said to be sigma-primary if G is a sigma_i-group for some sigma_i, and sigma-soluble if every chief factor
Viktoria S. Zakrevskaya
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2016 All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
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A generalization of the Chermak--Delgado measure on subgroups and its associated lattice [PDF]
International Journal of Group Theory, 2023 We generalize the Chermak--Delgado measure of a subgroup of a finite group $G$, $\mu(H) = |H||C_{G}(H)|$, and its associated lattice of subgroups with maximal measure. We consider mappings $M$ of the lattice of all subgroups $\mathrm{Sub}(G)$ into itself
William Cocke +2 more
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Some new characterizations of finite p-nilpotent groups
Open Mathematics, 2022 In this article, some new sufficient conditions of p-nilpotency of finite groups are obtained by using c-normality and Φ-supplementary of the maximal or the 2-maximal subgroups of the Sylow p-subgroups.
Xie Fengyan, Li Jinbao
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TORSION MAXIMAL SUBGROUPS OF GLn(D) [PDF]
Journal of Algebraic SystemsLet D be a division ring over its center F. LetGLn(D)be the general linear group over D. In this article we prove thatifGLn(D)contains a maximal torsion subgroup M then D = F,FpcharF = p > 0 and F is algebraic over its prime subeldwhen-ever one of the ...
Reza Fallah-Moghaddam
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Maximal Subgroup Containment in Direct Products [PDF]
Advances in Group Theory and Applications, 2016 Using the main theorem from [1] that characterizes containment of subgroups in a direct product, we provide a characterization of maximal subgroups contained in a direct product.
Ben Brewster, Dandrielle Lewis
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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications
Mathematics, 2022 The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability.
Adolfo Ballester-Bolinches +2 more
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