Normal \(p\)-subgroups in the group of outer automorphisms of a finite \(p\)-group.

DOI10.1007/BF01214085zbMath0307.20016OpenAlexW2049407676MaRDI QIDQ1218035

Peter Schmid

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172341

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (15)

OUTER AUTOMORPHISM GROUPS OF FINITE -NILPOTENT GROUPS ⋮ Automorphisms of groups. ⋮ NONINNER AUTOMORPHISMS OF ORDER IN FINITE -GROUPS OF COCLASS 2, WHEN ⋮ Cohomological criterion for extending derivations ⋮ On noninner automorphisms of finite p-groups that fix the Frattini subgroup elementwise ⋮ An independence result for group automorphisms ⋮ Noninner automorphisms of order \(p\) in some finite \(p\)-groups ⋮ Finite groups ⋮ Finite p-groups with the least number of outer p-automorphisms ⋮ Torsion in semicomplete nilpotent groups ⋮ Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology. ⋮ On noninner automorphisms of finite $p$-groups that fix the center elementwise ⋮ A note on the existence of noninner automorphisms of order p in some finite p-groups ⋮ Some unsolvable conjectures in finite \(p\)-groups ⋮ A direct proof of Müller's result on automorphisms of finite \(p\)-groups

Cites Work

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• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• Kohomologische Trivialitäten und äußere Automorphismen von p- Gruppen
• A Cohomological Characterization of Finite Nilpotent Groups
• Endliche Gruppen I
• Automorphisms of Group Extensions
• Normal \(p\)-complements for finite groups

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