BOUNDING THE ORDER OF THE NILPOTENT RESIDUAL OF A FINITE GROUP

DOI10.1017/S0004972716000150zbMath1369.20026OpenAlexW2327598698MaRDI QIDQ2986539

Agenor Freitas de Andrade, P. V. Shumyatskij

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000150

zbMATH Keywords

finite groupsnilpotent residual

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Commutators of elements of coprime orders in finite groups.
• Computing the order of the nilpotent residual of a finite group from knowledge of its group algebra
• A note on the size of the nilpotent residual in finite groups.
• Groups with boundedly finite classes of conjugate elements
• CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS

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