Automorphisms of \(p\)-groups with cyclic commutator subgroup

zbMath0824.20025MaRDI QIDQ1315170

Federico Menegazzo

Publication date: 14 December 1994

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_1993__90__81_0

zbMATH Keywords

ordersgeneratorsautomorphism groupsmetacyclic groupscyclic commutator subgroup\(2\)-generated \(p\)-groups

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Finite nilpotent groups, (p)-groups (20D15)

Related Items (10)

The automorphism group of a split metacyclic 2-group and some groups of crossed homomorphisms. ⋮ Which Haar graphs are Cayley graphs? ⋮ A note on \(IA\)-endomorphisms of two-generated metabelian groups ⋮ Cubic edge-transitive graphs of order \(2^np\) ⋮ Characters, exponents and defects in \(p\)-solvable groups ⋮ Cubic edge-transitive bi-\(p\)-metacirculants ⋮ Purely (non-)strongly real Beauville \(p\)-groups ⋮ Groups whose subgroups are either abelian or pronormal ⋮ On edge-transitive metacyclic covers of cubic arc-transitive graphs of order twice a prime ⋮ Edge-transitive bi-Cayley graphs

Cites Work

• Endomorphisms of two-generated metabelian groups that induce the identity modulo the derived subgroup
• On finite \(p\)-groups with cyclic commutator subgroup
• On p-groups with a cyclic commutator subgroup
• On the Automorphism Group of a Finite p-Group with the Central Quotient Metacyclic

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