000			01497nam a22002777a 4500
003			ISI Library, Kolkata
005			20250506155845.0
008			250502b |||||||| |||| 00| 0 eng d
020			_a9782379052019
040			_aISI Library _bEnglish
082			_223 _a512.2 _bM357
100			_aMarquis,T _eauthor
245	1	0	_aStructure of conjugacy classes in Coxeter groups/ _cT. Marquis
260			_aMarseille: _bSociété Mathématique de France, _c2025
300			_aviii, 135 pages : _billustrations ; _c24 cm.
490	0		_aAstérisque _v457
504			_aIncludes bibliographies and indexes.
505			_aIntroduction -- Priliminaries -- Cyclic shift classes -- Elements of finite order -- The structural conjugation graph -- Combinatorial minimal displacement sets -- Proof of theorem B -- The P-splitting of an element -- Indefinite coxeter groups -- Affine coxeter group.
520			_aThis paper gives a definitive solution to the problem of describing conjugacy classes in arbitrary Coxeter groups in terms of cyclic shifts. In this paper, we compute explicitely the structural conjugation graph associated to any (possibly twisted) conjugacy class in W, and show in particular that it is connected (that is, any two conjugate elements of W differ only by a sequence of cyclic shifts and K-conjugations).
650		4	_aGroup theory
650		4	_aConjugacy classes
650		4	_aCoxeter groups
650		4	_aCyclic shifts
830		0	_aAstérisque
942			_2ddc _cBK
999			_c437037 _d437037