Congruences on “character” values of permutation summands
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- by Xiangyong Wang PDF
- Proc. Amer. Math. Soc. 125 (1997), 393-396 Request permission
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
- Andreas Dress, A characterisation of solvable groups, Math. Z. 110 (1969), 213–217. MR 248239, DOI 10.1007/BF01110213
- Jean-Pierre Serre, Linear representations of finite groups, Graduate Texts in Mathematics, Vol. 42, Springer-Verlag, New York-Heidelberg, 1977. Translated from the second French edition by Leonard L. Scott. MR 0450380
- Xiangyong Wang and Alfred Weiss, Permutation summands over $\textbf {Z}$, J. Number Theory 47 (1994), no. 3, 413–434. MR 1278409, DOI 10.1006/jnth.1994.1047
- Alfred Weiss, Torsion units in integral group rings, J. Reine Angew. Math. 415 (1991), 175–187. MR 1096905, DOI 10.1515/crll.1991.415.175
Additional Information
- Xiangyong Wang
- Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- Address at time of publication: Department of Computer Science, University of Toronto, Toronto, Ontario, Canada M5S 1A4
- Email: xywang@cs.toronto.edu
- Received by editor(s): September 7, 1995
- Communicated by: Ronald M. Solomon
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 393-396
- MSC (1991): Primary 20C10; Secondary 19A22, 20C15
- DOI: https://doi.org/10.1090/S0002-9939-97-03825-2
- MathSciNet review: 1377011