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Intense Automorphisms of Finite Groups

Om 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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  • Språk:
  • Engelsk
  • ISBN:
  • 9781470450038
  • Bindende:
  • Paperback
  • Utgitt:
  • 30 mars 2022
  • Dimensjoner:
  • 178x254x0 mm.
  • Vekt:
  • 241 g.
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Leveringstid: 2-4 uker
Forventet levering: 19 oktober 2024

Beskrivelse av 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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