پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,730,723 |
| تعداد دریافت فایل اصل مقاله | 17,563,037 |
Conjugacy in relatively extra-large Artin groups | ||
| International Journal of Group Theory | ||
| مقاله 6، دوره 4، شماره 3، آذر 2015، صفحه 77-117 اصل مقاله (371.82 K) | ||
| نوع مقاله: Ischia Group Theory 2014 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2015.11019 | ||
| نویسنده | ||
| Arye Juhasz | ||
| Italy | ||
| چکیده | ||
| In this work we consider conjugacy of elements and parabolic subgroups in details, in a new class of Artin groups, introduced in an earlier work, which may contain arbitrary parabolic subgroups. In particular, we find algorithmically minimal representatives of elements in a conjugacy class and also an algorithm to pass from one minimal representative to the others. | ||
| کلیدواژهها | ||
| Artin groups؛ Relative presentations؛ Small cancellation theory؛ Conjugacy in groups | ||
| مراجع | ||
|
K. I. App el and P. E. Schupp (1983) Artin groups and Infinite Coxeter groups Invent. Math. 72, 201-220
W. A. Bogley and S. J. Pride (1992) Aspherical Relative Presentations Proc. Edinburgh Math. Soc. (2) 35, 1-39
R. Charney and L. Paris (2014) Convexity of Parabolic Subgroups in Artin Groups Bull. London Math. Soc. 46, 1248-1255
A. J. Duncan, I. V. Kazachkov and V. N. Remeslennikov (2006) Centraliser dimension of partially commutative groups Geom. Dedicata 120, 73-97
E. A. El-Rifai and H. R. Morton (1994) Algorithms for p ositive braids Quart. J. Math. Oxford Ser. (2) 45, 479-497
R. Fenn, D. Rolfsen and J. Zhu (1996) Centralisers in the Braid group and singular braid monoid Enseign. Math. (2) 42, 75-96
E. Godelle (2007) Artin-Tits groups with CAT(0) Deligne complex J. Pure Appl. Algebra 208, 39-52
J. Gonzalez-Meneses and B. Wiest (2004) On the Structure of the centralizers of a braid Ann. Sci. Ecole Norm. Sup. (4) 37, 729-757
V. A. Grinblatt (1986) On normalisers of Artin groups Amer. Math. Soc. Transl. 132, 89-98
A. Juhasz (1991) Fusion in Artin Groups I J. London Math. Soc. (2) 44, 287-300
A. Juhasz On a class of Artin groups Submitted
R. C. Lyndon and P. E. Schupp (2001) Combinatorial Group Theory Springer Verlag
L. Paris (1997) Parab olic subgroups of Artin groups J. Algebra 196, 369-399
L. Paris (1997) Centralizers of Parabolic subgroups of Artin groups of type A_l , B_l and P_l J. Algebra 196, 400-435
D. Rolfsen (1997) Braid subgroups normalisers, commensurators and induced representations Invent. Math. 130, 575-587
| ||
|
آمار تعداد مشاهده مقاله: 2,801 تعداد دریافت فایل اصل مقاله: 2,242 |
||