Covering groups of minimal exponent
Group Theory
2021-12-08 v2 Algebraic Topology
Abstract
Presenting a finite group by a free product of finite cyclic groups the Hopf formula for the Schur multiplier affords also a covering group, and this has minimal exponent provided that the order of the generators is preserved. This condition corresponds to a covering projection between simplicial complexes, and so a presentation by a Fuchsian group corresponds to a covering projection between compact surfaces.
Cite
@article{arxiv.1908.06823,
title = {Covering groups of minimal exponent},
author = {Nicola Sambonet},
journal= {arXiv preprint arXiv:1908.06823},
year = {2021}
}