The classification of the finite groups whose supersolvable (nilpotent) subgroups of equal order are conjugate.

DOI10.1016/J.INDAG.2014.12.001zbMath1316.20010OpenAlexW2049885852MaRDI QIDQ2017794

Robert W. van der Waall

Publication date: 23 March 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.12.001

zbMATH Keywords

finite groupsSylow subgroupsAbelian subgroupsnilpotent subgroupsconjugate subgroupsequal order subgroupssupersolvable subgroupsB-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34) Finite simple groups and their classification (20D05)

Related Items (1)

On finite nonsolvable groups whose cyclic $p$-subgroups of equal order are conjugate

Cites Work

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• The classification of the finite groups whose subgroups of equal order are conjugate.
• Finite groups whose subgroups of equal order are conjugate
• Non-solvable finite groups whose subgroups of equal order are conjugate
• Endliche Gruppen I

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