Groups which are isomorphic to their nonabelian subgroups

zbMath0887.20012MaRDI QIDQ1373392

Howard Smith, James Wiegold

Publication date: 11 March 1998

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

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1997__97__7_0

zbMATH Keywords

soluble groupssubgroups of finite indexlocally graded groupsnonabelian subgroupsgroups isomorphic to proper subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (3)

Groups with finitely many isomorphic classes of non-abelian subgroups ⋮ Groups with finitely many isomorphic classes of relevant subgroups ⋮ On groups with two isomorphism classes of central factors

Cites Work

• A problem about normal subgroups
• Groups with restricted non-normal subgroups
• Number theory, Carbondale 1979. Proceedings of the Southern Illinois number theory conference, Carbondale, March 30 and 31, 1979
• On homomorphic images of locally graded groups
• On Finitely Generated Soluble Groups With No Large Wreath Product Sections
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