TWISTED CONJUGACY IN CERTAIN ARTIN GROUPS

被引：0

作者：

Juhasz, A. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ISCHIA GROUP THEORY 2010 | 2012年

关键词：

Artin groups; Twisted conjugacy; Reidemeister number; van Kampen diagrams; Small cancellation Theory; AUTOMORPHISMS; SUBGROUPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the twisted conjugacy problem for extra-large Artin groups and for the class of CLTTF Artin groups introduced by J. Crisp in Ref. 18 is solvable, relative to length preserving automorphisms.We also show that these groups have infinite number of such twisted conjugacy classes and twisted conjugacy of elements of a standard parabolic subgroup which is invariant under the automorphism in the group, implies twisted conjugacy already in the parabolic subgroup.

引用

页码：175 / 195

页数：21

共 19 条

[1] ARTIN GROUPS AND INFINITE COXETER GROUPS [J].

APPEL, KI ;

SCHUPP, PE .

INVENTIONES MATHEMATICAE, 1983, 72 (02) :201-220

[2] The conjugacy problem is solvable in free-by-cyclic groups [J].

Bogopolski, O. ;

Martino, A. ;

Maslakova, O. ;

Ventura, E. .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2006, 38 :787-794

[3]

Bogopolski O., T AM MATH S IN PRESS

[4] Automorphisms and abstract commensurators of 2-dimensional Artin groups [J].

Crisp, J .

GEOMETRY & TOPOLOGY, 2005, 9 :1381-1441

[5] Distinguished subgroups and quotients of hyperbolic groups [J].

Delzant, T .

DUKE MATHEMATICAL JOURNAL, 1996, 83 (03) :661-682

[6]

Fel'shtyn A, 2000, MEM AM MATH SOC, V147, P1

[7]

Felshtyn A., 2004, J. Math. Sci. (N.Y.), V119, P117

[8]

Felshtyn A. L., 2008, ARXIV08022937V2MATHG

[9]

GANTMACHER F, 1939, MAT SBORNIK, V5, P101

[10] Twisted conjugacy classes in exponential growth groups [J].

Gonçalves, D ;

Wong, P .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 :261-268

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