TY  - BOOK
AU  - Khukhro,Evgenii I.
TI  - P-automorphisms of finite p-groups
T2  - London Mathematical Society lecture note series
SN  - 9780511526008 (ebook)
AV  - QA174.2 .K58 1998
U1  - 512/.2 21
PY  - 1998///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Automorphisms
KW  - Finite groups
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Ch. 1; Preliminaries --; Ch. 2; Automorphisms and their fixed points --; Ch. 3; Nilpotent and soluble groups --; Ch. 4; Finite p-groups --; Ch. 5; Lie rings --; Ch. 6; Associated Lie rings --; Ch. 7; Regular automorphisms of Lie rings --; Ch. 8; Almost regular automorphisms of order p: almost nilpotency of p-bounded class --; Ch. 9; The Baker-Hausdorff Formula and nilpotent Q-powered groups --; Ch. 10; The correspondences of A.I. Mal'cev and M. Lazard --; Ch. 11; Powerful p-groups --; Ch. 12; Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length --; Ch. 13; p-Automorphisms with p fixed points
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511526008
ER  -