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NUMERICAL CAMPEDELLI SURFACES CANNOT HAVE THE SYMMETRIC GROUP AS THE ALGEBRAIC FUNDAMENTAL GROUP

Published online by Cambridge University Press:  01 June 1999

DANIEL NAIE
DANIEL NAIE
Affiliation:
Université d'Angers, Faculté des Sciences, F-49045 Angers, France, naie@tonton.univ-angers.fr
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Abstract

The non-existence set forth in the title is proved. It is known that for numerical Campedelli surfaces the algebraic fundamental group is of order [les ]9 and that the dihedral group of order 8 cannot occur. Therefore the quaternionic group is the only non-abelian algebraic fundamental group in this range.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 813 - 827
Copyright
The London Mathematical Society 1999

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