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arXiv · 1908.06823

Covering groups of minimal exponent

Nicola Sambonet
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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.

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Nicola Sambonet. 2019-08-19. Covering groups of minimal exponent. https://arxiv.org/abs/1908.06823

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