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p-Automorphisms of Finite p-Groups / Evgenii I. Khukhro.

By: Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 246 | London Mathematical Society Lecture Note Series ; no. 246.Publisher: Cambridge : Cambridge University Press, 1998Description: 1 online resource (224 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511526008 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.2 21
LOC classification:
  • QA174.2  .K58 1998
Online resources: Summary: This book provides a detailed but concise account of the theory of structure of finite p-groups admitting p-automorphisms with few fixed points. The relevant preliminary material on Lie rings is introduced and the main theorems of the book on the solubility of finite p-groups are then presented. The proofs involve notions such as viewing automorphisms as linear transformations, associated Lie rings, powerful p-groups, and the correspondences of A. I. Mal'cev and M. Lazard given by the Baker–Hausdorff formula. Many exercises are included. This book is suitable for graduate students and researchers working in the fields of group theory and Lie rings.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12154

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

This book provides a detailed but concise account of the theory of structure of finite p-groups admitting p-automorphisms with few fixed points. The relevant preliminary material on Lie rings is introduced and the main theorems of the book on the solubility of finite p-groups are then presented. The proofs involve notions such as viewing automorphisms as linear transformations, associated Lie rings, powerful p-groups, and the correspondences of A. I. Mal'cev and M. Lazard given by the Baker–Hausdorff formula. Many exercises are included. This book is suitable for graduate students and researchers working in the fields of group theory and Lie rings.

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