ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 119-142
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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.
BELLINGERI, PAOLO; GODELLE, EDDY; GUASCHI, JOHN. ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 119-142. doi: 10.1017/S0017089516000070
@article{10_1017_S0017089516000070,
author = {BELLINGERI, PAOLO and GODELLE, EDDY and GUASCHI, JOHN},
title = {ABELIAN {AND} {METABELIAN} {QUOTIENT} {GROUPS} {OF} {SURFACE} {BRAID} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {119--142},
year = {2017},
volume = {59},
number = {1},
doi = {10.1017/S0017089516000070},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000070/}
}
TY - JOUR AU - BELLINGERI, PAOLO AU - GODELLE, EDDY AU - GUASCHI, JOHN TI - ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS JO - Glasgow mathematical journal PY - 2017 SP - 119 EP - 142 VL - 59 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000070/ DO - 10.1017/S0017089516000070 ID - 10_1017_S0017089516000070 ER -
%0 Journal Article %A BELLINGERI, PAOLO %A GODELLE, EDDY %A GUASCHI, JOHN %T ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS %J Glasgow mathematical journal %D 2017 %P 119-142 %V 59 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000070/ %R 10.1017/S0017089516000070 %F 10_1017_S0017089516000070
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