Results 21 to 30 of about 1,311,957 (357)
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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Neuro-Oncology, 2022 Background The impact of extent of resection (EOR), residual tumor volume (RTV), and gross-total resection (GTR) in glioblastoma subgroups is currently unknown. This study aimed to analyze their impact on patient subgroups in relation to neurological and
J. Gerritsen +20 more
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Maximal subgroups and von Neumann subalgebras with the Haagerup property [PDF]
Groups, Geometry, and Dynamics, 2019 We initiate a study of maximal subgroups and maximal von Neumann subalgebras which have the Haagerup property. We determine maximal Haagerup subgroups inside $\mathbb{Z}^2 \rtimes SL_2(\mathbb{Z})$ and obtain several explicit instances where maximal ...
Yongle Jiang, Adam G. Skalski
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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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On theta pairs for a maximal subgroup [PDF]
Proceedings of the American Mathematical Society, 1990 For a maximal subgroup M M of a finite group G G , a Θ \Theta -pair is any pair of subgroups ( C , D ) (C,D) of G G such that (i) D ◃ G , D ⊂ C D \triangleleft G,D ...
Mukherjee, N. P., Bhattacharya, Prabir
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Maximal von Neumann subalgebras arising from maximal subgroups [PDF]
Science China Mathematics, 2019 Ge (2003) asked the question whether LF∞ can be embedded in to LF2 as a maximal subfactor. We answer it affirmatively in three different approaches, all containing the same key ingredient: the existence of maximal subgroups with infinite index.
Yongle Jiang
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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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