A criterion for the existence of a solvable π-Hall subgroup in a finite group

DOI10.1080/00927872.2019.1684504zbMath1480.20056arXiv1810.05350OpenAlexW2984789068MaRDI QIDQ5220635

Antonina P. Khramova, Aleksandr Aleksandrovich Buturlakin

Publication date: 27 March 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05350

zbMATH Keywords

finite groupsolvable groupHall subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of classes of conjugate Hall subgroups in finite simple groups.
• On the existence of Hall subgroups
• New criteria for the solvability of finite groups
• Odd order Hall subgroups of the classical linear groups
• Finite groups whose maximal subgroups have the hall property
• An existence criterion for Hall subgroups of finite groups
• Theorems of Sylow type
• Theorems Like Sylow's