SHORT EXACT SEQUENCE;
FINITE-TYPE;
REPRESENTATIONS;
LINEARITY;
SUBGROUPS;
SERIES;
D O I:
10.1017/S0017089516000070
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we study Abelian and metabelian quotients of braid groups of oriented surfaces with boundary components. We provide group presentations and we prove rigidity results for these quotients arising from exact sequences related to (generalised) Fadell-Neuwirth fibrations.
机构:
St Louis Univ, Dept Math & Comp Sci, 220 N Grand Blvd, St Louis, MO 63103 USASt Louis Univ, Dept Math & Comp Sci, 220 N Grand Blvd, St Louis, MO 63103 USA
Currey, B.
Fuehr, H.
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机构:
Rhein Westfal TH Aachen, Lehrstuhl Math, D-52056 Aachen, GermanySt Louis Univ, Dept Math & Comp Sci, 220 N Grand Blvd, St Louis, MO 63103 USA
Fuehr, H.
Taylor, K.
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h-index: 0
机构:
Dalhousie Univ, Math & Stat, POB 15000, Halifax, NS B3H 4R2, CanadaSt Louis Univ, Dept Math & Comp Sci, 220 N Grand Blvd, St Louis, MO 63103 USA