FINITE GROUPS WITH SOME NON-CYCLIC SUBGROUPS HAVING SMALL INDICES IN THEIR NORMALIZERS

DOI10.1142/S0219498813501417zbMath1325.20010OpenAlexW2007399519MaRDI QIDQ5414230

Klavdija Kutnar, Jiangtao Shi, Dragan Marušič, Cui Zhang

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813501417

zbMATH Keywords

finite groupsnormalizerssolvable groupssubgroups of small indexnon-cyclic subgroups

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

• Groups of prime power order. Vol. 1.
• The theory of finite groups. An introduction.
• Minimal nicht überauflösbare, endliche Gruppen
• Nonnormal subgroups of \(p\)-groups.
• A complete classification of finite p-groups all of whose noncyclic subgroups are normal
• Self-normalizing Sylow subgroups

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