3-Generator Groups Whose Elements Commute with Their Endomorphic Images Are Abelian

DOI10.1080/00927870802160727zbMath1155.20029arXiv0709.3185OpenAlexW2964177889MaRDI QIDQ3543402

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Publication date: 2 December 2008

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

Full work available at URL: https://arxiv.org/abs/0709.3185

zbMATH Keywords

endomorphismsminimal number of generators2-Engel groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Engel conditions (20F45)

Related Items (1)

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

Uses Software

• GAP

Cites Work

• Finite p-groups of exponent \(p^ 2\) in which each element commutes with its endomorphic images
• Minimal Number of Generators and Minimum Order of a Non-Abelian Group Whose Elements Commute with Their Endomorphic Images
• On the minimal number of generators of finite non-abelian p-groups having an abelian automorphism group

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