Cover Image

Finite groups in which some particular non-nilpotent maximal invariant subgroups have indices a prime-power

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shi, Jiangtao, Shan, Mengjiao, Xu, Fanjie
Format:	Preprint
Published:	2025
Subjects:	Group Theory 20D10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite groups in which every maximal invariant subgroup of order divisible by $p$ is nilpotent
by: Shi, Jiangtao, et al.
Published: (2025)

Finite groups with some particular maximal invariant subgroups being nilpotent or all non-nilpotent maximal invariant subgroups being normal
by: Shi, Jiangtao, et al.
Published: (2024)

On finite groups in which some maximal invariant subgroups have indices a prime or the square of a prime
by: Shi, Jiangtao, et al.
Published: (2025)

On generalizations of Iwasawa's theorem
by: Shi, Jiangtao, et al.
Published: (2024)

A note on Frobenius quotient for prime-power divisor of the exponent of finite groups
by: Shi, Jiangtao, et al.
Published: (2025)

On an extension of Shlyk's theorem
by: Shi, Jiangtao, et al.
Published: (2025)

Finite groups in which almost all class sizes are prime numbers
by: Monetta, Carmine, et al.
Published: (2025)

Groups with a solvable subgroup of prime-power index
by: Bastos, Raimundo, et al.
Published: (2020)

On SS-quasinormalities of the maximal subgroup series of finite groups
by: Meng, Wei, et al.
Published: (2026)

Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps
by: Hua, Peice
Published: (2025)

Sylow subgroups for distinct primes and intersection of nilpotent subgroups
by: Lisi, Francesca, et al.
Published: (2025)

Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent
by: Dastborhan, Nasrin, et al.
Published: (2023)

CLT-groups with cyclic or abelian subgroups
by: Sharma, Khyati, et al.
Published: (2022)

New characterizations for supersolvability of fusion system and $p$-nilpotency of finite groups
by: Zhang, Shengmin, et al.
Published: (2023)

$p$-nilpotency criteria for some verbal subgroups
by: Rojas, Yerko Contreras, et al.
Published: (2021)

Finite groups and $k$-submodular subgroups
by: Vasilyeva, T. I.
Published: (2024)

Indices of non-supersolvable maximal subgroups in finite groups
by: Beltrán, Antonio, et al.
Published: (2025)

Finite groups with few conjugate classes of minimal non-abelian subgroups
by: Qu, Haipeng, et al.
Published: (2025)

The influence of weakly $SΦ$-supplemented subgroups on fusion systems of finite groups
by: Zhang, Shengmin, et al.
Published: (2023)

Finite solvable tidy Groups whose orders are divisible by two primes
by: Beike, Nicolas F., et al.
Published: (2024)

Bounds in terms of the number of cyclic subgroups
by: Gao, Xiaofang, et al.
Published: (2024)

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime $p$
by: Cossey, James P., et al.
Published: (2025)

Solvable and non-solvable finite groups of the same order type
by: Piwek, Paweł
Published: (2024)

Weakly nilpotent hypergroups
by: Zhang, Chi, et al.
Published: (2025)

Finite groups with few subgroups not in the Chermak-Delgado lattice
by: Lu, Jiakuan, et al.
Published: (2025)

On finite groups in which the twisted conjugacy classes of the unit element are subgroups
by: Nicotera, Chiara
Published: (2024)

Finite groups with high commuting probability for Sylow subgroups
by: Detomi, Eloisa, et al.
Published: (2026)

Sylow numbers and the structure of finite groups
by: Wei, Huaquan, et al.
Published: (2025)

On the number of non-cyclic subgroups of finite p-groups
by: Liu, Jia, et al.
Published: (2026)

Groups having 12 cyclic subgroups
by: Sharma, Khyati, et al.
Published: (2022)

Finite groups with mostly involuted cyclic subgroups
by: Chhajer, Vaibhav, et al.
Published: (2025)

On the maximal subgroups of almost simple and primitive perfect groups
by: Capilla, Patricia Medina, et al.
Published: (2026)

A lower bound on the size of maximal abelian subgroups
by: Lewis, Mark L.
Published: (2024)

On the triple product property for subgroups of finite nilpotent groups of class $2$
by: Murthy, Sandeep R.
Published: (2026)

On neighborhoods in the enhanced power graph associated with a finite group
by: Lewis, Mark L., et al.
Published: (2024)

Gruenberg-Kegel graphs with four edges of finite solvable cut groups
by: Debón, Sara C., et al.
Published: (2026)

Explicit construction of the maximal subgroups of the Monster
by: Dietrich, Heiko, et al.
Published: (2024)

Finite groups with nearly half as many cyclic subgroups as elements
by: Chhajer, Vaibhav, et al.
Published: (2025)

Non-solvable groups whose non-linear character degrees have the same number of different prime divisors
by: Guo, Junying, et al.
Published: (2026)

Finite non-parabolic subgroups of relatively hyperbolic groups
by: Bogopolski, Oleg
Published: (2025)