Results 11 to 20 of about 379,510 (267)
The Case of a Normal Subgroup [PDF]
, 2020 In this section we consider triples of the form (G, N, θ) in the particular case when the subgroup N ≤ G is normal.
Ceccherini-Silberstein T. +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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G-Groups and Biuniform Abelian Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2016 We prove a weak form of the Krull-Schmidt Theorem concerning the behavior of direct-product decompositions of $G$-groups, biuniform abelian $G$-groups, $G$-semidirect products and the $G$-set $Hom(H,A)$. Here $G$ and $A$ are groups and $H$ is a $G$-group.
María José Arroyo Paniagua +1 more
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Open normal subgroups in normally constrained pro-$p$ groups [PDF]
International Journal of Group Theory, 2020 In this paper we analyse properties satisfied by certain open normal subgroups in normally constrained pro-$p$ groups and in a spread version of normally constrained pro-$p$ groups. In the case of powerful normally constrained pro-$p$ groups,
Norberto Gavioli +3 more
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Bipolar Complex Fuzzy Subgroups
Mathematics, 2022 In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point.
Xiaopeng Yang +2 more
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On pairs of antagonistic subgroups and theirs influence on the structure of groups [PDF]
International Journal of Group Theory, 2023 In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.
Leonid Kurdachenko +3 more
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, 2020 10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Arreche, Carlos E., Williams, Nathan F.
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On groups with a restriction on normal subgroups [PDF]
International Journal of Group Theory, 2018 The structure of infinite groups in which every (proper) normal subgroup is the only one of its cardinality is investigated in the universe of groups without infinite simple sections.
Alessio Russo
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Computing normal subgroups [PDF]
Proceedings of the 1998 international symposium on Symbolic and algebraic computation, 1998 This note presents a new algorithm for the computation of the set of normal subgroups of a finite group. It is based on lifting via homomorphic images.
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On normalizers of nilpotent subgroups
Journal of Algebra, 2003 The authors give a very wide generalization (not only for finite groups) of \textit{G. Glauberman}'s theorem [Math. Z. 107, 1-20 (1968; Zbl 0172.03002)] which characterizes finite two-dimensional special linear groups as groups acting on \(p\)-groups with certain features. The precise formulation is too complicated to be stated here.
Baumann, Bernd, Meierfrankenfeld, Ulrich
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