P-automorphisms of finite p-groups /
Khukhro, Evgenii I., 1956-
P-automorphisms of finite p-groups / E.I. Khukhro. - Cambridge : Cambridge University Press, 1998. - 1 online resource (xvii, 204 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 246 . - London Mathematical Society lecture note series ; 246. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Preliminaries -- Automorphisms and their fixed points -- Nilpotent and soluble groups -- Finite p-groups -- Lie rings -- Associated Lie rings -- Regular automorphisms of Lie rings -- Almost regular automorphisms of order p: almost nilpotency of p-bounded class -- The Baker-Hausdorff Formula and nilpotent Q-powered groups -- The correspondences of A.I. Mal'cev and M. Lazard -- Powerful p-groups -- Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length -- p-Automorphisms with p fixed points. Ch. 1. Ch. 2. Ch. 3. Ch. 4. Ch. 5. Ch. 6. Ch. 7. Ch. 8. Ch. 9. Ch. 10. Ch. 11. Ch. 12. Ch. 13.
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.
9780511526008 (ebook)
Automorphisms.
Finite groups.
QA174.2 / .K58 1998
512/.2
P-automorphisms of finite p-groups / E.I. Khukhro. - Cambridge : Cambridge University Press, 1998. - 1 online resource (xvii, 204 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 246 . - London Mathematical Society lecture note series ; 246. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Preliminaries -- Automorphisms and their fixed points -- Nilpotent and soluble groups -- Finite p-groups -- Lie rings -- Associated Lie rings -- Regular automorphisms of Lie rings -- Almost regular automorphisms of order p: almost nilpotency of p-bounded class -- The Baker-Hausdorff Formula and nilpotent Q-powered groups -- The correspondences of A.I. Mal'cev and M. Lazard -- Powerful p-groups -- Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length -- p-Automorphisms with p fixed points. Ch. 1. Ch. 2. Ch. 3. Ch. 4. Ch. 5. Ch. 6. Ch. 7. Ch. 8. Ch. 9. Ch. 10. Ch. 11. Ch. 12. Ch. 13.
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.
9780511526008 (ebook)
Automorphisms.
Finite groups.
QA174.2 / .K58 1998
512/.2