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Intense Automorphisms of Finite Groups

About Intense Automorphisms of Finite Groups

In this paper the authors classify the finite p-groups whose groups of intense automorphisms are not themselves p-groups. It emerges that the structure of such groups is almost completely determined by their nilpotency class: for p > 3, they share a quotient, growing with their class, with a uniquely determined infinite 2-generated pro-p group.

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  • Language:
  • English
  • ISBN:
  • 9781470450038
  • Binding:
  • Paperback
  • Published:
  • March 30, 2022
  • Dimensions:
  • 178x254x0 mm.
  • Weight:
  • 241 g.
Delivery: 2-4 weeks
Expected delivery: October 21, 2024

Description of Intense Automorphisms of Finite Groups

In this paper the authors classify the finite p-groups whose groups of intense automorphisms are not themselves p-groups. It emerges that the structure of such groups is almost completely determined by their nilpotency class: for p > 3, they share a quotient, growing with their class, with a uniquely determined infinite 2-generated pro-p group.

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