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Some new non-abelian 2-groups with abelian automorphism groups

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Publication:2776800
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DOI10.1515/jgth.2001.039zbMath0998.20022OpenAlexW2085183060MaRDI QIDQ2776800

Ali-Reza Jamali

Publication date: 22 August 2002

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2001.039


zbMATH Keywords

finite \(p\)-groupsautomorphism groupsautomorphismsexponentsnumbers of generatorsfinite 2-groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Finite nilpotent groups, (p)-groups (20D15)


Related Items (6)

Groups acting on groups. ⋮ Unnamed Item ⋮ The Diffie-Hellman key exchange protocol and non-Abelian nilpotent groups ⋮ On finite \(p\)-groups whose automorphisms are all central. ⋮ Unnamed Item ⋮ Relative Cayley graphs of finite groups



Cites Work

  • Some non-abelian 2-groups with abelian automorphism groups
  • Some non-abelian p-groups with abelian automorphism groups
  • The occurrence of finite groups in the automorphism group of nilpotent groups of class 2


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