×

Integral relative Grothendieck rings. (English) Zbl 0274.20009


MSC:

20C10 Integral representations of finite groups
16E20 Grothendieck groups, \(K\)-theory, etc.
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ayoub, R.; Ayoub, C., On the group ring of a finite abelian group, Bull. Austral. Math. Soc., 1, 245-262 (1969) · Zbl 0172.31403
[2] Conlon, S. B., Decompositions induced from the Burnside algebra, J. Algebra, 10, 102-122 (1968) · Zbl 0159.31401
[3] Conlon, S. B., Modular representations of \(C_2\) × \(C_2\), J. Austral. Math. Soc., 10, 363-366 (1969) · Zbl 0186.04603
[4] Dress, A., On relative Grothendieck rings, Bull. Amer. Math. Soc., 75, 955-958 (1969) · Zbl 0182.35904
[5] Heller, A.; Reiner, I., Representations of cyclic groups in rings of integers I, Ann. of Math. (2), 76, 73-92 (1962) · Zbl 0108.03101
[6] Lam, T.-Y; Reiner, I., Relative Grothendieck groups, J. Algebra, 11, 213-242 (1969) · Zbl 0185.06901
[7] Lam, T.-Y; Reiner, I., Relative Grothendieck rings, Bull. Amer. Math. Soc., 75, 496-498 (1969) · Zbl 0177.04503
[8] Lam, T.-Y; Reiner, I., Reduction theorems for relative Grothendieck rings, Trans. Amer. Math. Soc., 142, 421-435 (1969) · Zbl 0185.06802
[9] Lam, T.-Y; Reiner, I., Finite generation of Grothendieck rings relative to cyclic subgroups, (Proc. Amer. Math. Soc., 23 (1969)), 481-489 · Zbl 0186.04602
[10] Lam, T.-Y; Reiner, I., Restriction maps on relative Grothendieck rings, J. Algebra, 14, 260-298 (1970) · Zbl 0187.29801
[11] Lam, T.-Y; Reiner, I., An excision theorem for Grothendieck rings, Math. Z., 115, 153-164 (1970) · Zbl 0187.29802
[12] Lam, T.-Y; Reiner, I.; Wigner, D., Restrictions of representations over fields of characteristic \(p\), (Proc. Symp. Pure Math. (Amer. Math. Soc.), 21 (1971)), 99-106
[13] MacLane, S., Homology (1963), Springer-Verlag: Springer-Verlag Berlin · Zbl 0133.26502
[14] Reiner, I., Integral representation algebras, Trans. Amer. Math. Soc., 124, 111-121 (1966) · Zbl 0147.01201
[15] Swan, R., Induced representations and projective modules, Ann. of Math. (2), 71, 552-578 (1960) · Zbl 0104.25102
[16] Swan, R., The Grothendieck ring of a finite group, Topology, 2, 85-110 (1963) · Zbl 0119.02905
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.