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Finite Regular Covers of Surfaces

Published online by Cambridge University Press:  20 November 2018

Larry W. Cusick
Larry W. Cusick*
Affiliation:
Department of Mathematics, California State University, Fresno, CA 93710
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Abstract

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Let Tk = T1#...#T1 T1 = Sl x Sl, Uk = ℝP2#... #ℝP2, and G is a finite group. We prove (1) Every free action of G on Ul + 2 lifts to a free action of G on the orientable two fold cover Tl+1 → Ul+1 and (2) The minimum k such that can act freely on Tk is ml((l - 2)/2) + 1 if m = 2 or l is even and ml((l - 1)/2) + 1 otherwise.

Keywords

57S17
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 185 - 190
Copyright
Copyright © Canadian Mathematical Society 1986

References

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