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20182024
most citedStructure and automorphisms of pure virtual twin groups

9 citations · 33 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.GR2023

Right-angled Artin groups are symmetric diagram groups

Paolo Bellingeri, Anthony Genevois, Neha Nanda

In this article, we show that, for every , the pure virtual twin group can be naturally described as a symmetric diagram group, a family of groups introduced by V…

math.GR2023

Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups

Pravin Kumar, Tushar Kanta Naik, Neha Nanda +1

The virtual braid group , the virtual twin group and the virtual triplet group are extensions of the symmetric group , which are motivated by the Alexander…

math.GR2021★ 2 cited

Virtual planar braid groups and permutations

Tushar Kanta Naik, Neha Nanda, Mahender Singh

Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid groups, respectively. These groups play the role of braid groups in the Alexander-Markov…

math.GR2020★ 9 cited

Structure and automorphisms of pure virtual twin groups

Tushar Kanta Naik, Neha Nanda, Mahender Singh

Study of stable isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces is considered as a planar analogue of…

math.GR2019★ 6 cited

Some remarks on twin groups

Tushar Kanta Naik, Neha Nanda, Mahender Singh

The twin group is a right angled Coxeter group generated by involutions and having only far commutativity relations. These groups can be thought of as planar analogues…

math.GR2019★ 8 cited

Conjugacy classes and automorphisms of twin groups

Tushar Kanta Naik, Neha Nanda, Mahender Singh

The twin group is a right angled Coxeter group generated by involutions and the pure twin group is the kernel of the natural surjection from onto the symme…