On groups of odd order admitting an elementary 2-group of automorphisms.

DOI10.4171/RSMUP/126-13zbMath1242.20030MaRDI QIDQ661363

Karise G. Oliveira, Carmela Sica, P. V. Shumyatskij

Publication date: 10 February 2012

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/239680

zbMATH Keywords

finite solvable groupsautomorphismscentralizersexponentsderived lengthsnilpotency classesnormal seriesgroups of odd order

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) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items (1)

On locally finite groups with a four-subgroup whose centralizer is small.

Cites Work

• Nilpotent groups and their automorphisms
• Some sufficient conditions for a group to be nilpotent
• Groups with regular elementary 2-groups of automorphisms
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• ON EXTENSIONS OF GROUPS OF FINITE EXPONENT
• On Groups Admitting a Fixed-Point-Free Elementary 2-Group of Automorphisms

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