On an inverse problem to Frobenius' theorem.

DOI10.1007/s00013-010-0211-4zbMath1225.20023OpenAlexW2029572033MaRDI QIDQ633168

Wei Meng, Jiangtao Shi

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0211-4

zbMATH Keywords

finite groupsFrobenius theoremcharacteristic subgroupselement orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)

Related Items (5)

CLASSIFICATION OF FINITE GROUPS VIA THEIR BREADTH ⋮ On the Frobenius spectrum of a finite group ⋮ Finite groups of global breadth four in the sense of Frobenius ⋮ On a notion of breadth in the sense of Frobenius. ⋮ Unique, and necessarily cyclic, subgroup of an arbitrary order in a group

Cites Work

• Unnamed Item
• A conjecture of Frobenius and the simple groups of Lie type. I
• A conjecture of Frobenius and the simple groups of Lie type. II
• A conjecture of frobenius and the sporadic simple groups
• On a conjecture of Frobenius
• A Conjecture of Frobenius and the Sporadic Simple Groups, II
• Endliche Gruppen I

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