CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I

被引：0

作者：

Bellingeri, Paolo ^{[1
]}

Damiani, Celeste ^{[2
]}

Ocampo, Oscar ^{[3
]}

Stylianakis, Charalampos ^{[4
]}

机构：

[1] Normandie Univ, UNICAEN, CNRS, LMNO, F-14000 Caen, France

[2] Fdn Ist Italiano Tecnol, Genoa, Italy

[3] Univ Fed Bahia, Dept Matemat IME, BR-40170110 Salvador, BA, Brazil

[4] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年

关键词：

braid groups; mapping class groups; congruence subgroups; symplectic representation; BURAU REPRESENTATION; MONODROMY; FAITHFUL;

D O I：

10.1017/S1446788724000089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is the first of a two part series devoted to describing relations between congruence and crystallographic braid groups. We recall and introduce some elements belonging to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups.

引用

页数：19

共 41 条

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