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Finite 3-groups acting on bordered surfaces†

Published online by Cambridge University Press:  18 May 2009

Coy L. May
Coy L. May
Affiliation:
Department of Mathematics, Towson University Baltimore, Maryland 21252, USA E-mail: cmay@towson.edu
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Let G be a finite group. The real genus p(G) [8] is the minimum algebraic genus of any compact bordered Klein surface on which G acts. There are now several results about the real genus parameter. The groups with real genus p ≤ 5 have been classified [8,9,12], and genus formulas have been obtained for several classes of groups [8,9,10,11,12]. Most notably, McCullough calculated the real genus of each finite abelian group [13]. In addition, there is a good general lower bound for the real genus of a finite group [11].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 3 , September 1998 , pp. 463 - 472
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

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