On groups with relatively small normalizers of nonabelian subgroups.

DOI10.1134/S0081543814050034zbMath1316.20009OpenAlexW2082529411MaRDI QIDQ470991

J. Herrera, Sumit K. Garg

Publication date: 13 November 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814050034

zbMATH Keywords

finite groupscentralizersnonabelian subgroupsfinite nonabelian simple groupsindices of normalizersNSNA-groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)

Cites Work

• Finite nilpotent groups with relatively large centralizers of noninvariant subgroups.
• Locally finite groups with small normalizers
• On finite 2-groups with relatively large centralizers of noninvariant subgroups.
• On groups with relatively large centralizers.
• On finite groups with a certain Sylow normalizer. I
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