On generalized Dedekind groups and Tarski super monsters

DOI10.1006/jabr.1999.8106zbMath0959.20031OpenAlexW1990798447MaRDI QIDQ1977538

Marcel Herzog, Mercede Maj, Patrizia Longobardi, Avinoam Mann

Publication date: 4 February 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8106

zbMATH Keywords

Frobenius groupslocally nilpotent groupslocally soluble groupsfinite nilpotent groupsgeneralized Dedekind groupsfinite solvable \(J\)-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Simple groups (20E32) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items (12)

Unnamed Item ⋮ Unnamed Item ⋮ Finite \(p\)-groups with small subgroups generated by two conjugate elements. ⋮ GROUPS OF FINITE NORMAL LENGTH ⋮ Finite 2-groups with index of every cyclic subgroup in its normal closure no greater than 4. ⋮ Some finite \(p\)-groups with bounded index of every cyclic subgroup in its normal closure. ⋮ FINITE p-GROUPS IN WHICH THE NORMAL CLOSURES OF THE NON-NORMAL CYCLIC SUBGROUPS HAVE SMALL INDEX ⋮ Groups with all elements of finite length ⋮ Profinite Cappitt groups ⋮ Finite Groups with Small Normal Closure of Cyclic Subgroups ⋮ On generalized Dedekind groups. ⋮ ON J-GROUPS OF PRIME POWER ORDER

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
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• On the norm of a group
• Breadth and commutator subgroups of p-groups
• Groups of prime power order with many conjugacy classes
• Power automorphisms of a group
• Automorphism Groups of Residually Finite Groups
• Endliche Gruppen I

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