---

＜電子ブック＞
Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups / by Herbert Abels
(Lecture Notes in Mathematics. ISSN:16179692 ; 1261)

版	1st ed. 1987.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1987
大きさ	VI, 182 p : online resource
著者標目	*Abels, Herbert author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Topological groups LCSH:Lie groups FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups
一般注記	Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups HTTP:URL=https://doi.org/10.1007/BFb0079708

 類似資料