On \(M\)-groups with Sylow towers.

DOI10.1007/s00013-015-0833-7zbMath1336.20008OpenAlexW1961608490MaRDI QIDQ896033

Ping Jin, Huijuan Zheng, Xuewu Chang

Publication date: 11 December 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0833-7

zbMATH Keywords

Hall subgroupsSylow subgroupsSylow towersmonomial charactersDade-Loukaki linear limitsfinite \(M\)-groupsIsaacs character triples

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (3)

On the supersolvable residual of an M-group ⋮ Primitive inducing pairs for irreducible characters ⋮ Connecting monomiality questions with the structure of rational group algebras

Cites Work

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• Characters of subnormal subgroups of M-groups
• Extendible characters and monomial groups of odd order.
• M-groups and 2-groups
• Character ramification and M-groups
• Groups all of whose subgroups are M-groups
• Normal subgroups of M-groups need not be M-groups
• M-Groups with Sylow Towers
• Hall subgroups of $M$-groups need not be $M$-groups
• M-GROUPS OF ORDER p^aq^b: A THEOREM OF LOUKAKI

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