On normal subgroups of capable groups

DOI10.1007/BF01195351zbMath0598.20022MaRDI QIDQ1079655

Shahriar Shahriari

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

normal structureSchur multipliercapable groupsextraspecial \(p\)-groupprecise centergroup of inner automorphismscentral subgroupnormal subgroups of capable groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (11)

Breaking points in centralizer lattices ⋮ Non-inner automorphisms of order \(p\) in finite \(p\)-groups of coclass 3 ⋮ An upper bound for the index of the center in capable groups with finite cyclic derived subgroups ⋮ On the nonabelian tensor square and capability of groups of order \(8q\). ⋮ On finite \textit{NDC}-groups ⋮ Large norms in group theory ⋮ On F-groups with the central factor of order p ⁴ ⋮ Uncountable groups in which normality is a transitive relation ⋮ On finite p-groups with few normal subgroups ⋮ Finite \(p\)-groups ⋮ Groups of prime power order isomorphic to their automorphism groups

Cites Work

• Group extensions, representations, and the Schur multiplicator
• On groups occurring as center factor groups
• On groups of central type
• Groups with Preassigned Central and Central Quotient Group
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