03652nam 22006612 450 991045209000332120151005020622.01-107-18521-11-281-15366-497866111536631-139-13345-40-511-35537-80-511-35487-80-511-35429-00-511-54275-50-511-35589-0(CKB)1000000000481100(EBL)321355(OCoLC)190643124(SSID)ssj0000148159(PQKBManifestationID)11150859(PQKBTitleCode)TC0000148159(PQKBWorkID)10225018(PQKB)11639858(UkCbUP)CR9780511542756(MiAaPQ)EBC321355(Au-PeEL)EBL321355(CaPaEBR)ebr10209487(CaONFJC)MIL115366(EXLCZ)99100000000048110020090505d2007|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierEnumeration of finite groups /Simon R. Blackburn, Peter M. Neumann, Geetha Venkataraman[electronic resource]Cambridge :Cambridge University Press,2007.1 online resource (xii, 281 pages) digital, PDF file(s)Cambridge tracts in mathematics ;173Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-88217-6 Includes bibliographical references and index.Some basic observations -- Preliminaries -- Enumerating p-groups: a lower bound -- Enumerating p-groups: upper bounds -- Some more preliminaries -- Group extensions and cohomology -- Some representation theory -- Primitive soluble linear groups -- The orders of groups -- Conjugacy classes of maximal soluble subgroups of symmetric groups -- Enumeration of finite groups with abelian Sylow subgroups -- Maximal soluble linear groups -- Conjugacy classes of maximal soluble subgroups of the general linear groups -- Pyber's theorem: the soluble case -- Pyber's theorem: the general case -- Enumeration within varieties of abelian groups -- Enumeration within small varieties of A-groups -- Enumeration within small varieties of p-groups.How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.Cambridge tracts in mathematics ;173.Finite groupsFinite groups.512.23Blackburn Simon R.1026697Neumann P. M.Venkataraman GeethaUkCbUPUkCbUPBOOK9910452090003321Enumeration of finite groups2441752UNINA