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作者 Guirardel, V. (Vincent), 1973- author
書名 JSJ decompositions of groups / Vincent Guirardel, Gilbert Levitt
出版項 Paris : Société Mathématique de France, 2017
國際標準書號 9782856298701
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA183 G85 2017    在架上    30340200557696
說明 vii, 165 pages : illustrations ; 24 cm
系列 Astérisque, 0303-1179 ; 395
Astérisque ; 395
附註 Includes bibliographical references (pages 157-162) and index
Introduction -- Preliminaries -- The JSJ deformation space -- Flexible vertices -- Acylindricity -- Compatibility -- R-trees, length functions, and compatibility
JSJ decompositions of finitely generated groups are a fundamental tool in geometric group theory, encoding all splittings of a group over a given class of subgroups. We give a unified account of this theory with complete proofs and many examples. We introduce a simple and general definition of JSJ decompositions, the natural object being a deformation space of actions on trees, similar to Outer Space. In many cases of interest, this deformation space contains a canonical JSJ tree, which is invariant under automorphisms
Text in English with abstracts in English and French
主題 Group theory
Cylindric algebras
Amalgams (Group theory)
Alt Author Levitt, Gilbert, 1955- author
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