Geodesic
Finite Regular Covers of Surfaces
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 185-190

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DOI

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.
DOI : 10.4153/CMB-1986-030-8
Mots-clés : 57S17 
Cusick, Larry W. Finite Regular Covers of Surfaces. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 185-190. doi: 10.4153/CMB-1986-030-8
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     title = {Finite {Regular} {Covers} of {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {185--190},
     year = {1986},
     volume = {29},
     number = {2},
     doi = {10.4153/CMB-1986-030-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-030-8/}
}
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