The intersection map of subgroups and certain classes of finite groups.

DOI10.1007/s11587-007-0015-4zbMath1167.20014OpenAlexW1999082027MaRDI QIDQ931289

James C. Beidleman, Matthew F. Ragland

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1007/s11587-007-0015-4

zbMATH Keywords

finite groupssubnormal subgroupspermutable subgroupsS-permutable subgroupsT-groupsintersection maps

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Groups whose primary subgroups are normal sensitive. ⋮ Subnormal, permutable, and embedded subgroups in finite groups. ⋮ The intersection map of subgroups and the classes \(\mathcal{PST}_c\), \(\mathcal{PT}_c\) and \(\mathcal T_c\). ⋮ On generalizing transitivity, persistence, and sensitivity.

Uses Software

• GAP

Cites Work

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• Finite soluble groups with permutable subnormal subgroups

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