The intersection map of subgroups and the classes \(\mathcal{PST}_c\), \(\mathcal{PT}_c\) and \(\mathcal T_c\).

DOI10.1007/S11587-008-0041-XzbMath1232.20025OpenAlexW2069691604MaRDI QIDQ661129

Julia Chifman, James C. Beidleman

Publication date: 18 February 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-008-0041-x

zbMATH Keywords

nilpotent groupssubnormal subgroupscyclic subgroupspermutable subgroupsDedekind groupscyclic sensitive subgroupsIwasawa groupsSylow-permutable subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• The intersection map of subgroups and certain classes of finite groups.
• The intersection map of subgroups
• Subgroups permutable with all Sylow subgroups
• Subgroup lattices of groups
• Permutable subnormal subgroups of finite groups.
• On the finite solvable groups with lattice of dual subgroups
• Gruppen, in denen das Normalteilersein transitiv ist.
• Note on Direct Products of Certain Classes of Finite Groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Finite Groups Whose Cyclic Subnormal Subgroups Are Permutable

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