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Polycyclic groups admitting a regular automorphism of order four

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Publication:2013133
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DOI10.1007/s10114-016-4660-yzbMath1371.20035OpenAlexW2558821835MaRDI QIDQ2013133

Tao Xu, He Guo Liu

Publication date: 3 August 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4660-y


zbMATH Keywords

polycyclic groupresidually finite groupregular automorphism


Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36)


Related Items (1)

Regular automorphisms of order \(p^2\)



Cites Work

  • Unnamed Item
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  • Groups with automorphisms that leave only the neutral element fixed
  • Groups with regular automorphisms of order four
  • On almost regular automorphisms.
  • On the centralizer and the commutator subgroup of an automorphism.


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