On Groups with Given Same-Order Types

DOI10.1080/00927872.2011.574663zbMath1259.20030OpenAlexW1988407394MaRDI QIDQ2903373

R. L. Shen

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.574663

zbMATH Keywords

finite solvable groupsfinite nilpotent groupssets of element ordersequal order elementssame-order types

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

Groups whose same-order types are arithmetic progressions ⋮ A note on Shen's conjecture on groups with given same-order type ⋮ A characterization of \(A_5\) by same-order type ⋮ A characterization of \(A_{5}\) by its same-order type ⋮ Shen's conjecture on groups with given same order type

Cites Work

• A new characterization of \(A_5\).
• Prime graph components of finite groups
• On finite groups with given conugate types. III
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Groups with Given Same-Order Types