Groups $\Gamma_n^4$: algebraic properties

O. G. Styrt

Groups $\Gamma_n^4$: algebraic properties

Algebraic Geometry 2023-10-02 v1

Authors: O. G. Styrt

Abstract

In the paper, groups $\Gamma_n^4$ closely connected with braid groups are researched from algebraic point of view. More exactly, for $n\geqslant7$ , it is proved that $\Gamma_n^4$ is a nilpotent finite $2$ -group with $4$ -torsion and that its subgroup $(\Gamma_n^4)'$ is central.

Keywords

braid groups group theory nilpotent groups

Cite

@article{arxiv.2309.17317,
  title  = {Groups $\Gamma_n^4$: algebraic properties},
  author = {O. G. Styrt},
  journal= {arXiv preprint arXiv:2309.17317},
  year   = {2023}
}

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