Let $G$ be the principal congruence subgroup of level $N \geq 3$
and $g$ be the group generated by the involution $z \mapsto -1/z$
of the upper half plane. We shall determine the cardinality
of the (first) cohomology set $H(g,G)$ in terms of the binary
form $x^2 + y^2 \mod N$.
Publié le : 2000-09-14
Classification:
The principal congruence subgroup of level $N$,
the involution,
cohomology sets,
binary quadratic forms,
orthogonal groups,
11F75
@article{1148393471,
author = {Ono, Takashi},
title = {On certain cohomology sets attached to Riemann surfaces},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {76},
number = {10},
year = {2000},
pages = { 116-117},
language = {en},
url = {http://dml.mathdoc.fr/item/1148393471}
}
Ono, Takashi. On certain cohomology sets attached to Riemann surfaces. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp. 116-117. http://gdmltest.u-ga.fr/item/1148393471/