On the number of generators of a finite group

DOI10.1007/BF01194565zbMath0612.20013MaRDI QIDQ5903357

Patrizia Longobardi, Mercede Maj

Publication date: 1988

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

zbMATH Keywords

finite groupsnumber of generatorsSylow subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05)

Related Items (8)

FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK ⋮ ON THE RANK OF A VERBAL SUBGROUP OF A FINITE GROUP ⋮ Finite groups with an automorphism of prime order whose centralizer has small rank. ⋮ Rank and order of a finite group admitting a Frobenius group of automorphisms. ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ On the number of generators of a finite group ⋮ A bound on the number of generators of a finite group ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

Cites Work

• Unnamed Item
• Some applications of the first cohomology group
• Solvable generation of groups and Sylow subgroups of the lower central series
• On finite soluble groups

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