Finite 3-groups of class 3 whose elements commute with their automorphic images.

DOI10.1007/s00013-010-0144-yzbMath1209.20019OpenAlexW2014564206MaRDI QIDQ707965

E. A. O'Brien, Alireza Abdollahi, A. Faghihi, Stephen A. Linton

Publication date: 8 October 2010

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0144-y

zbMATH Keywords

automorphisms of groupsA-groups2-Engel groupsendomorphisms of groupsE-groupsfinite 3-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45)

Related Items (1)

On simple symplectic alternating algebras and their groups of automorphisms

Uses Software

• GAP
• Magma

Cites Work

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• On automorphisms of \(A\)-groups.
• The Magma algebra system. I: The user language
• Minimal Number of Generators and Minimum Order of a Non-Abelian Group Whose Elements Commute with Their Endomorphic Images
• SYMPLECTIC ALTERNATING ALGEBRAS
• CONSTRUCTING THE GROUP PRESERVING A SYSTEM OF FORMS
• 3-Generator Groups Whose Elements Commute with Their Endomorphic Images Are Abelian
• More on Groups in Which Each Element Commutes with its Endomorphic Images
• APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II
• CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS
• Groups in Which Each Element Commutes with its Endomorphic Images

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