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Number of subgroups of index n in fundamental group of a closed surface of characteristic -3.
2

%I #5 Mar 31 2012 20:08:10

%S 1,31,1330,119315,17543016,4537258768

%N Number of subgroups of index n in fundamental group of a closed surface of characteristic -3.

%C A formula in terms of irreducible characters of the symmetric group.

%D V. A. Liskovets and A. Mednykh, Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces, Commun. in Algebra, 28, No. 4 (2000), 1717-1738.

%D A. D. Mednykh, On the number of subgroups in the fundamental group of a closed surface. Commun. in Algebra, 16, No 10 (1988), 2137-2148.

%Y Cf. A003319, A027837, A049290-A049295.

%K nonn,nice

%O 1,2

%A _Valery A. Liskovets_