Results 21 to 30 of about 621,667 (283)
Maximal abelian subgroups of the finite symmetric group [PDF]
International Journal of Group Theory, 2021 Let $G$ be a group. For an element $a\in G$, denote by $\cs(a)$ the second centralizer of~$a$ in~$G$, which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$.
Janusz Konieczny
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Irredundant families of maximal subgroups of finite solvable groups [PDF]
International Journal of Group Theory, 2023 Let $\mathcal{M}$ be a family of maximal subgroups of a group $G.$ We say that $\mathcal{M}$ is irredundant if its intersection is not equal to the intersection of any proper subfamily of $\mathcal{M}$. The maximal dimension of $G$ is the maximal size of
Agnieszka Stocka
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The maximal subgroups of [PDF]
LMS Journal of Computation and Mathematics, 2015 Here we determine up to conjugacy all the maximal subgroups of the finite exceptional group of Lie-type$E_{7}(2)$.Supplementary materials are available with this article.
John Ballantyne +2 more
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Locally Maximal Subgroups and the Normalizer Condition in p-Groups [PDF]
Advances in Group Theory and Applications, 2023 This work is a continuation of the investigation of a locally nilpotent p-group satisfying the normalizer condition by imposing certain conditions on locally maximal subgroups, where p ≠ 2.
A.O. Asar
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The reduction theorem for relatively maximal subgroups
Bulletin of Mathematical Sciences, 2022 Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo +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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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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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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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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Rank 3 permuation characters and maximal subgroups [PDF]
, 2009 Let G be a transitive permutation group acting on a finite set E. Let P be a stabilizer in G of a point in E. We say G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1 \(\frac{G}{H}
Tong Viet, Hung Phi
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