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Cohomology of congruence subgroups of SL4(Z)
Matrix eisenstein series classic regular modular
2014/12/29
Let N>1 be an integer, and let Γ=Γ0(N)SL4( ) be the subgroup of matrices with bottom row congruent to (0, 0, 0, *) modN. We compute H5(Γ; ) for a range of N and compute the action of some Hecke operat...
Cohomology of congruence subgroups of SL(4, Z) II
Congruence subgroup other boundary Betty
2014/12/24
In a previous paper [3] we computed cohomology groups H5(..0(N),C), where ..0(N) is a certain congruence subgroup of SL(4,Z), for a range of levels N. In this note we update this earlier work by exten...
COHOMOLOGY OF CONGRUENCE SUBGROUPS OF SL4(Z). III
Cohomology group group congruence sparse matrix zero matrix calculation
2014/12/24
In two previous papers we computed cohomology groups for a range of levels , where is the congruence subgroup of consisting of all matrices with bottom row congruent to mod . In this note we update th...
TORSION IN THE COHOMOLOGY OF CONGRUENCE SUBGROUPS OF SL(4, Z) AND GALOIS REPRESENTATIONS
Reverse calculation congruence subgroup the group of cohomology homologous yields Galois calculating torsional prime
2014/12/24
We report on the computation of torsion in certain homology the-ories of congruence subgroups of SL(4, Z). Among these are the usual group cohomology, the Tate-Farrell cohomology, and the homology of ...