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Representable functions on the category of modular representations of a finite group with cyclic Sylow subgroup. (English) Zbl 0294.20009


MSC:

20C20 Modular representations and characters
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
16Gxx Representation theory of associative rings and algebras
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References:

[1] Conlon, S. B., Relative components of representations, J. Algebra, 8, 478-501 (1968) · Zbl 0157.06402
[2] Curtis, C. W.; Reiner, I., Representation Theory of Finite Groups and Associative Algebras (1962), Wiley and Son: Wiley and Son New York · Zbl 0131.25601
[3] Feit, W., Representations of finite groups, part I, (Lecture notes (1969), Yale University Department of Mathematics) · Zbl 0166.29002
[4] Janusz, G. J., Indecomposable modules for finite groups, Ann. of Math., 89, 209-241 (1969) · Zbl 0197.02302
[5] Janusz, G. J., Indecomposable representations of groups with a cyclic Sylow subgroup, Trans. Amer. Math. Soc., 125, 288-295 (1966) · Zbl 0178.35102
[6] Kupisch, H., Unzerlegbare Moduln endlicher Gruppen mit zyklischer \(p\)-Sylow Gruppe, Math. Z., 108, 77-104 (1969) · Zbl 0188.09002
[7] Nakayama, T., Some remarks on regular representations, induced representations and modular representations, Ann. of Math., 39, 209-241 (1938) · JFM 64.0965.02
[8] Roiter, A., The unboundedness of the dimensions of indecomposable representations of algebras that have infinitely many indecomposable representations, Izv. Akad. Nauk SSSR Ser. Mat., 32, 1275-1282 (1968)
[9] Serre, J. P., Représentations Linéaires des Groupes Finis (1967), Hermann: Hermann Paris
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