Noninner automorphisms of order \(p\) of finite \(p\)-groups

DOI10.1006/JABR.2001.9093zbMath1012.20017OpenAlexW2053744932WikidataQ56094146 ScholiaQ56094146MaRDI QIDQ1602022

Gheorghe Silberberg, Marian Deaconescu

Publication date: 13 March 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9093

zbMATH Keywords

finite \(p\)-groupsFrattini subgroupnoninner automorphisms of order \(p\)

Mathematics Subject Classification ID

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

Related Items (26)

Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\). ⋮ Nilpotent groups related to an automorphism ⋮ ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS ⋮ NONINNER AUTOMORPHISMS OF ORDER IN FINITE -GROUPS OF COCLASS 2, WHEN ⋮ On noninner automorphisms of finite p-groups that fix the Frattini subgroup elementwise ⋮ Non-inner automorphisms of order \(p\) in finite \(p\)-groups of coclass 3 ⋮ On semicomplete finite \(p\)-groups ⋮ Discrete valuation rings, partitions and \(p\)-groups. I ⋮ Finite \(p\)-groups of class 3 have noninner automorphisms of order \(p\). ⋮ Unnamed Item ⋮ Noninner automorphisms of order \(p\) in some finite \(p\)-groups ⋮ Noninner automorphisms of order \(p\) for finite \(p\)-groups of restricted coclass ⋮ A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS ⋮ ON NONINNER AUTOMORPHISMS OF FINITE NONABELIAN -GROUPS ⋮ EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER p IN SOME FINITE p-GROUPS ⋮ ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS ⋮ Finite p-groups with the least number of outer p-automorphisms ⋮ SOME PROPERTIES OF SEMI-ABELIAN -GROUPS ⋮ Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology. ⋮ On inner automorphisms and certain central automorphisms of groups. ⋮ On noninner automorphisms of finite $p$-groups that fix the center elementwise ⋮ Finite \(p\)-groups with non-cyclic center have a non-inner automorphism of order \(p\) ⋮ On noninner automorphisms of 2-generator finite p-groups ⋮ A note on the existence of noninner automorphisms of order p in some finite p-groups ⋮ On a conjecture about automorphisms of finite \(p\)-groups. ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Unnamed Item
• Frattinian \(p\)-groups
• A cohomological property of regular \(p\)-groups
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• Outer Automorphisms in Nilpotent p -Groups of Class 2
• Endliche Gruppen I

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