Bounds in groups with finite abelian coverings or with finite derived groups

DOI10.1515/jgth.2002.015zbMath1018.20024OpenAlexW1966767894MaRDI QIDQ4779668

Károly Podoski, Balázs Szegedy

Publication date: 17 June 2003

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2002.015

zbMATH Keywords

derived subgroupsAbelian coveringssecond centers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Derived series, central series, and generalizations for groups (20F14) FC-groups and their generalizations (20F24)

Related Items (12)

On the number of conjugacy classes of zeros of characters. ⋮ Bounds for the index of the centre in capable groups ⋮ On finite groups whose derived subgroup has bounded rank. ⋮ On \(p\)-parts of Brauer character degrees and \(p\)-regular conjugacy class sizes of finite groups ⋮ On \(p\)-parts of character degrees and conjugacy class sizes of finite groups ⋮ Large characteristic subgroups and abstract group classes ⋮ BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE ⋮ Bounds in groups with trivial Frattini subgroup. ⋮ Invariant systems of representatives, or the cost of symmetry ⋮ Large characteristic subgroups with restricted conjugacy classes ⋮ Orbit sizes, character degrees and Sylow subgroups. ⋮ Blocks of small defect.

Cites Work

• Unnamed Item
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• An Essay on BFC Groups
• On groups with bounded conjugacy classes
• Some Explicit Bounds in Groups with Finite Derived Groups

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