000 02572nam a22003618i 4500
001 CR9780511526008
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090406s1998||||enk o ||1 0|eng|d
020 _a9780511526008 (ebook)
020 _z9780521597173 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA174.2
_b.K58 1998
082 0 0 _a512/.2
_221
100 1 _aKhukhro, Evgenii I.,
_d1956-
_eauthor.
245 1 0 _aP-automorphisms of finite p-groups /
_cE.I. Khukhro.
264 1 _aCambridge :
_bCambridge University Press,
_c1998.
300 _a1 online resource (xvii, 204 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v246
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _gCh. 1.
_tPreliminaries --
_gCh. 2.
_tAutomorphisms and their fixed points --
_gCh. 3.
_tNilpotent and soluble groups --
_gCh. 4.
_tFinite p-groups --
_gCh. 5.
_tLie rings --
_gCh. 6.
_tAssociated Lie rings --
_gCh. 7.
_tRegular automorphisms of Lie rings --
_gCh. 8.
_tAlmost regular automorphisms of order p: almost nilpotency of p-bounded class --
_gCh. 9.
_tThe Baker-Hausdorff Formula and nilpotent Q-powered groups --
_gCh. 10.
_tThe correspondences of A.I. Mal'cev and M. Lazard --
_gCh. 11.
_tPowerful p-groups --
_gCh. 12.
_tAlmost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length --
_gCh. 13.
_tp-Automorphisms with p fixed points.
520 _aThis 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.
650 0 _aAutomorphisms.
650 0 _aFinite groups.
776 0 8 _iPrint version:
_z9780521597173
830 0 _aLondon Mathematical Society lecture note series ;
_v246.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511526008
999 _c518212
_d518210