A note on the structure of a finite group \(G\) having a subgroup \(H\) maximal in \(\langle H,H^g\rangle\)

DOI10.1515/math-2019-0043zbMath1435.20024OpenAlexW2951350685MaRDI QIDQ2278392

Yong Xu, Xianhua Li, Gui-Yun Chen

Publication date: 5 December 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0043

zbMATH Keywords

finite groupsolvablesupersolvablechief factor

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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The indices of subgroups of finite groups in the join of their conjugate pairs.
• Minimal inner-\(\Sigma\)-\(\Omega\)-groups and their applications.
• Engelsche Elemente Noetherscher Gruppen
• Finite soluble groups
• The theory of finite groups. An introduction.
• Criteria for subnormality in finite groups.
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I