Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups
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Publication:6564631
DOI10.1016/j.jpaa.2024.107713zbMATH Open1542.20153MaRDI QIDQ6564631
Pravin Kumar, Tushar Kanta Naik, Neha Nanda, Mahender Singh
Publication date: 1 July 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Bieberbach groupcrystallographic groupReidemeister-Schreier methodvirtual braid groupvirtual twin groupvirtual triplet group
Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15)
Cites Work
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- A quotient of the Artin braid groups related to crystallographic groups
- Combinatorial properties of virtual braids.
- Bieberbach groups and flat manifolds
- Virtual knot theory
- Real \(K(\pi ,1)\) arrangements from finite root systems
- Automorphisms of odd Coxeter groups
- Virtual and universal braid groups, their quotients and representations
- Linear motion planning with controlled collisions and pure planar braids
- Alexander and Markov theorems for virtual doodles
- The associated Lie algebra of a right-angled Coxeter group
- Structural aspects of twin and pure twin groups
- Commutator subgroups of twin groups and Grothendieck's cartographical groups
- Almost-Bieberbach groups: affine and polynomial structures
- Theory of braids
- Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
- Doodle groups
- The virtual and universal braids
- Virtual braids
- Planar pure braids on six strands
- Commutator subgroups of virtual and welded braid groups
- ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
- Structure and automorphisms of pure virtual twin groups
- Virtual braid groups, virtual twin groups and crystallographic groups
- Congruence subgroups and crystallographic quotients of small Coxeter groups
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