Results 11 to 20 of about 174,143 (324)
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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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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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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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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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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GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
Forum of Mathematics, Sigma, 2020 For a finite group $G$, let $d(G)$ denote the minimal number of elements required to generate $G$. In this paper, we prove sharp upper bounds on $d(H)$ whenever $H$ is a maximal subgroup of a finite almost simple group.
ANDREA LUCCHINI +2 more
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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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Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 more
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