000 02057nam a22002537a 4500
003 OSt
005 20240603114658.0
008 240531b |||||||| |||| 00| 0 hin d
020 _a9781860945540
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
041 _aEnglish
082 0 0 _a512.54
_bBAH-I
100 1 _aBahls, Patrick.
245 1 0 _aIsomorphism problem in coxeter groups
260 _aLondon :
_bImperial College Press,
_c2005.
300 _axiv, 176 p. :
_bill. ;
_c24 cm.
504 _aIncludes bibliographical references (p. 171-173) and index.
520 _aThe book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics. The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the investigation, the readers are introduced to a large number of tools in the theory of Coxeter groups, drawn from dozens of recent articles by prominent researchers in geometric and combinatorial group theory, among other fields. As the central problem of the book may in fact be solved soon, the book aims to go further, providing the readers with many techniques that can be used to answer more general questions. The readers are challenged to practice those techniques by solving exercises, a list of which concludes each chapter.
650 0 _aCoxeter groups.
650 0 _aIsomorphisms (Mathematics)
856 _3Table of content
_uhttps://www.worldscientific.com/doi/epdf/10.1142/9781860947193_fmatter
856 _3Reviews
_uhttps://www.goodreads.com/book/show/14525883-isomorphism-problem-in-coxeter-groups-the?ref=nav_sb_ss_1_37#CommunityReviews
942 _cBK
_2udc
999 _c35024
_d35024