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Congruences on ``character'' values of permutation summands

Author(s): Xiangyong Wang
Journal: Proc. Amer. Math. Soc. 125 (1997), 393-396.
MSC (1991): Primary 20C10; Secondary 19A22, 20C15
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Abstract: A class of congruences on ``character" values $\Phi _{L}$ of a permutation summand $L$ are exhibited, from which follows the connectedness of the prime ideal spectrum of the Grothendieck ring of permutation summands.

References:

1.: A. Dress, A characterization of solvable groups, Math. Z. 110 (1969), 213-217. MR 40:1491
2.: J. P. Serre, Linear Representations of Finite Groups, Springer-Verlag, New York, 1977. MR 56:8675
3.: X. Wang, A. Weiss, Permutation Summands over $\mathbf {Z}$ , J. Number Theory 47 (1994), 413-434. MR 95d:20008
4.: A. Weiss, Torsion units in integral group rings, J. Reine Angew. Math. 415 (1991), 175-187. MR 92c:20009


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