Resolutions and periodicity
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- by J. Alperin and G. Janusz PDF
- Proc. Amer. Math. Soc. 37 (1973), 403-406 Request permission
Abstract:
The representation theory of groups with a cyclic Sylow subgroup is used to give a detailed construction of minimal projective resolutions.References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- G. J. Janusz, Indecomposable modules for finite groups, Ann. of Math. (2) 89 (1969), 209–241. MR 244307, DOI 10.2307/1970666
- Alex Heller, Indecomposable representations and the loop-space operation, Proc. Amer. Math. Soc. 12 (1961), 640–643. MR 126480, DOI 10.1090/S0002-9939-1961-0126480-2
- Richard G. Swan, Periodic resolutions for finite groups, Ann. of Math. (2) 72 (1960), 267–291. MR 124895, DOI 10.2307/1970135
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 403-406
- MSC: Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320178-1
- MathSciNet review: 0320178