Class Group Relations from Burnside Ring Idempotents

Journal of Number Theory - Tập 66 Số 2 - Trang 291-305 - 1997
Robert Boltje1
1Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany

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Bouc, 1984, Modules de Möbius, C.R. Acad. Sci. Paris Sér. I, 299, 9

Bouc, 1984, Homologie de certains ensembles ordonnés, C.R. Acad. Sci. Paris Sér. I, 299, 49

Bouc, 1996, Foncteurs d'ensembles munis d'une double action, J. Algebra, 183, 664, 10.1006/jabr.1996.0238

Brauer, 1951, Beziehungen zwischen Klassenzahlen von Teilkörpern eines Galoisschen Körpers, Math. Nachr., 4, 158, 10.1002/mana.3210040116

Broué, 1985, On Scott modules andp, Proc. Amer. Math. Soc., 93, 401

Curtis, 1981

Curtis, 1987

Dirichlet, 1842, Recherches sur les formes quadratiques à coefficients et à indéterminées complexes, J. Reine Angew. Math., 24, 291, 10.1515/crll.1842.24.291

Gluck, 1981, Idempotent formula for the Burnside algebra with applications to thep, Illinois J. Math., 25, 63, 10.1215/ijm/1256047365

Roggenkamp, 1982, Hecke actions on Picard groups, J. Pure Appl. Algebra, 26, 85, 10.1016/0022-4049(82)90031-7

Rota, 1964, On the foundations of combinatorial theory, I. Theory of Möbius functions, Z. Wahrsch. Verw. Gebiete, 2, 340, 10.1007/BF00531932

Tambara, 1989, Homological properties of the endomorphism rings of certain permutation modules, Osaka J. Math., 26, 807

Thévenaz, 1988, Some remarks onG, J. Reine Angew. Math., 384, 24

Walker, 1981, Homotopy type and Euler characteristic of partially ordered sets, Europ. J. Combin., 2, 373, 10.1016/S0195-6698(81)80045-5

Walter, 1979, Brauer's class number relation, Acta Arith., 35, 33, 10.4064/aa-35-1-33-40

Webb, 1987, A local method in group cohomology, Comment. Math. Helv., 62, 135, 10.1007/BF02564442

Yoshida, 1983, Idempotents of Burnside rings and Dress induction theorem, J. Algebra, 80, 90, 10.1016/0021-8693(83)90019-4

Yoshida, 1983, OnGG, J. Math. Soc. Japan, 35, 179, 10.2969/jmsj/03510179