English

Gyro-Groups, Gyro-splittings and Co-homology

Group Theory 2023-02-21 v1

Abstract

In this paper, we study gyro-groups associated to groups, group extensions admitting gyro-sections, and corresponding co-homologies. We also describe the obstructions in terms of co-homomology. The notion of gyro-Schur Multiplier and that of gyro-Milnor K2K_{2} group are introduced.

Keywords

Cite

@article{arxiv.2302.09366,
  title  = {Gyro-Groups, Gyro-splittings and Co-homology},
  author = {Ramji Lal and Vipul Kakkar},
  journal= {arXiv preprint arXiv:2302.09366},
  year   = {2023}
}

Comments

Accepted in Journal of Algebra and Its Applications