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Generating the liftable mapping class groups of regular cyclic covers
Soumya Dey, Neeraj K. Dhanwani, Harsh Patil +1
Let be the mapping class group of the closed orientable surface of genus , and let be the liftable mapping class group associat…
Liftable mapping class groups of regular cyclic covers
Nikita Agarwal, Soumya Dey, Neeraj K. Dhanwani +1
Let be the mapping class group of the closed orientable surface of genus . For , we consider the standard -sheeted regular cover $p_k: S_…
Commutator Subgroups of Singular Braid Groups
Soumya Dey, Krishnendu Gongopadhyay
The singular braids with strands, , were introduced independently by Baez and Birman. It is known that the monoid formed by the singular braids is embedded in a group…
Commutator Subgroups of Twin Groups and Grothendieck's Cartographical Groups
Soumya Dey, Krishnendu Gongopadhyay
Let be the twin group on arcs, . The group is isomorphic to Grothendieck's -dimensional cartographical group , . In this…
Commutator Subgroups of Welded Braid Groups
Soumya Dey, Krishnendu Gongopadhyay
Let be the welded (or loop) braid group on n strands, . We investigate commutator subgroup of . We prove that the commutator subgroup is finitely gen…