The influence of second maximal subgroups on the generalized p-solvability of finite groups

Y Wang, L Miao, Z Gao, W Liu - Communications in Algebra, 2022 - Taylor & Francis
We investigate the influence of some second maximal subgroups on the structure of finite
groups. In details, the p-solvability and generalized p-solvability of finite groups are …

On 2-maximal subgroups of finite groups

MN Konovalova, VS Monakhov… - Communications in …, 2022 - Taylor & Francis
We distinguish 2-maximal and strictly 2-maximal subgroups of a finite group and give
examples of soluble and simple groups in which every 2-maximal subgroup is strictly 2 …

Overgroups of weak second maximal subgroups

H Meng, X Guo - Bulletin of the Australian Mathematical Society, 2019 - cambridge.org
A subgroup. This partially answers a question of Flavell ['Overgroups of second maximal
subgroups', Arch. Math. 64 (4)(1995), 277–282] and extends a result of Pálfy and Pudlák …

[PDF][PDF] 子群的CAPSp (*) 性质对主因子结构的影响

王鸿志, 缪龙, 刘威 - 华中师范大学学报(自然科学版), 2024 - journal.ccnu.edu.cn
子群的CAP 性质对主因子结构的影响 Page 1 第58卷第3期 华中师范大学学报(自然科学版) Vol.58
No.3 2024年6月 JOURNALOFCENTRALCHINA NORMALUNIVERSITY (Nat.Sci.) Jun.2024 …

On second maximal subgroups with core relation in finite groups

L Miao, W Zhou, Z Gao, B Gao, W Liu - Communications in Algebra, 2024 - Taylor & Francis
In this paper, we will investigate the structure of groups with the property of the core relation
between some second maximal subgroups and corresponding maximal subgroups, and …

О вторых максимальных подгруппах конечных групп

Ц Чжан, Ч Гао, Л Мяо - Сибирский математический журнал, 2021 - mathnet.ru
Рассматриваются арифметические свойства вторых максимальных подгрупп конечных
групп. Исследуется вопрос, поставленный ВС Монаховым [1, вопрос 19.54], и …

The influence of non-cp-normal subgroups on the structure of non-solvable groups

W Liu, L Miao, Y Wang, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
Full article: The influence of non-cp-normal subgroups on the structure of non-solvable groups
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

On critical conditions of overgroups of weak second maximal subgroups

T Zheng, X Guo - Communications in Algebra, 2021 - Taylor & Francis
A subgroup H of a finite group G is called a weak second maximal subgroup of G if there
exists a maximal subgroup M of G such that H is a maximal subgroup of M. Let m (G, H) …

On strictly 2-maximal subgroups of finite groups

VS Monakhov, IL Sokhor - arXiv preprint arXiv:2010.05714, 2020 - arxiv.org
arXiv:2010.05714v1 [math.GR] 12 Oct 2020 On strictly 2-maximal subgroups of finite groups
Page 1 arXiv:2010.05714v1 [math.GR] 12 Oct 2020 On strictly 2-maximal subgroups of finite …

Some notes on the second maximal subgroups of finite groups

J Zhang, Z Gao, L Miao - Siberian Mathematical Journal, 2021 - Springer
Under study are the arithmetic properties of second maximal subgroups of finite groups.
Generally speaking, we investigated the problem by Monakhov [1, Problem 19.54] and …