Results 1 to 10 of about 121 (32)
A result on the number of cyclic subgroups of a finite group [PDF]
Proceedings of the Japan Academy. Series A Mathematical sciences, 2020 Let G be a finite group and α(G) = |C(G)| |G| , where C(G) denotes the set of cyclic subgroups of G. In this short note, we prove that α(G) ≤ α(Z(G)) and we describe the groups G for which the equality occurs.
Marius Tùarnùauceanu
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On intersections of two non-incident subgroups of finite p-groups
Open Mathematics, 2021 In this paper, we investigate finite p-groups GG such that whenever A ...
Wang Jiao
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A criterion for nilpotency of a finite group by the sum of element orders [PDF]
, 2019 Denote the sum of element orders in a finite group G by ψ(G) and let Cn denote the cyclic group of order n. In this paper, we prove that if |G| = n and ψ(G) > 13 21 ψ(Cn), then G is nilpotent.
Marius Tùarnùauceanu
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The Threshold for Subgroup Profiles to Agree is Logarithmic
Theory of Computing, 2019 For primes p > 2 and e > 3 there are at least pe−3/e groups of order p2e+2 that have equal multisets of isomorphism types of proper subgroups and proper quotient groups, isomorphic character tables, and power maps.
James B. Wilson
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On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
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FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP
Forum of Mathematics, Sigma, 2015 For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ +1 more
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A note on the structure of a finite group G having a subgroup H maximal in 〈H, Hg〉
Open Mathematics, 2019 Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgroup H which is maximal in 〈H, Hg〉 for some g ∈ G. Some results on the structure of 〈H, Hg〉 and G are set up.
Xu Yong, Li Xianhua, Chen Guiyun
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On $W-S$-permutable subgroups of finite groups
Rendiconti del Seminario Matematico della Universita di Padova, 2018 A subgroup H of a finite group G is said to be W -S-permutable in G if there is a subgroup K of G such that G = HK and H ∩K is a nearly S-permutable subgroup of G. In this article, we analyse the structure of a finite group G by using the properties of W
Jinxin Gao, Xiuyun Guo
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On inequalities of subgroups and the structure of finite groups
, 2013 Let G be a group and H be a subgroup of G. We say that H is weakly Φ-supplemented in G if G has a subgroup T such that HT = G and H∩T≤Φ(H), where Φ(H) denotes the Frattini subgroup of H.
Jinbao Li, F. Xie
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The influence of primitive subgroups on the structure of finite groups
, 2014 A subgroup H of a group G is said to be primitive if it is a proper subgroup of the intersection of all subgroups of G containing H as its proper subgroup.
H. Jianhong, Huang Bin
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