This is a preview of subscription content, log in via an institution to check access.
References
Barannik, L.F., Gudivok, P.M.: Crossed group rings of finite groups and rings ofp-adic integers with finitely many indecomposable integral representations. Math. USSR Sb.36, 173–194 (1980)
Borevic, Z.I., Fadeev, D.K.: Representations of orders of cyclic index. Trudy Mat. Inst. Steklov.80, 51–65 (1965) [Russian]
Butler, M.C.R.: The 2-adic representations of Klein's four group. In: Proceedings, of the Second International Conference on the Theory of Groups (Canberra 1973), pp. 197–203. Lecture Notes in Math.372. Berlin-Heidelberg-New York: Springer 1974
Butler, M.C.R.: On the classification of local integral representations of finite abelianp-groups. In: Proceedings of a conference on representations of algebras, (Ottawa 74), pp. 54–71. Lecture Notes in Math.488. Berlin-Heidelberg-New York: Springer 1975
Butler, M.C.R.: The construction of almost split sequences, II: Lattices over orders. Bull. London Math. Soc.11, 155–160 (1979)
Dieterich, E.: Representation types of group rings over complete discrete valuation rings. In: Proceedings of a conference on integral, representations and applications (Oberwolfach 1980), pp. 369–389. Lecture Notes in Math.882. Berlin-Heidelberg-New York: Springer 1981
Drozd, J.A., Kiričenko, V.V.: Primary orders with a finite number of indecomposable representations. Izv. Akad. Nauk. SSSR Ser. Mat.37, 715–736 (1973) [Russian]. English transl.: Math. USSR Izv.7, 711–732 (1973)
Drozd, J.A., Roiter, A.: Commutative rings with a finite number of indecomposable integral representations. Izv. Akad. Nauk SSSR, Ser. Mat.31, 783–798 (1967) [Russian]. English transl.: Math. USSR Izv.1, 757–772 (1967)
Gudivok, P.M.: Representations of finite groups over number rings. Izv. Akad. Nauk SSSR Ser. Math.31, 799–834 (1967) [Russian]. English transl: Math. USSR Izv.1, 773–805 (1967)
Gudivok, P.M.: The boundedness of the degrees of irreducible modular representations of finite groups over principal ideal rings. Dopovidi Akad Nauk Ukraïn. RSR Ser. A, 683–685 (1971) [Ukrainian]
Gudivok, P.M., Gončarova, S.F., Rudko, V.P.: Finite-dimensional, algebras of integralp-adic representations of finite groups. Math. USSR Sb.23, 336–361 (1974)
Jacobinski, H.: Sur les ordres commutatifs avec une nombre fini de réseaux indecomposables. Acta. Math.118, 1–31 (1967)
Kopelevič, N.M.: On thep-adic representations of rings with a power base. Mat., Zametki17, 265–276 (1975) [Russian]. English transl.: Math. Notes17, 154–160 (1975)
Ringel, C.M.: Tame algebras. Proceedings of the Ottawa conference, in representation theory (Ottawa 1979), pp. 137–287. Lecture Notes in Math.831. Berlin-Heidelberg-New York: Springer 1980
Roggenkamp, K.W., Huber-Dyson, V.: Lattices over orders II. Lecture Notes in Math.142, Berlin-Heidelberg-New York: Springer 1970
Roggenkamp, K.W.: The lattice type of orders II: Auslander-Reiten quivers. Proceedings of a conference on integral representations and applications (Oberwolfach 1980), pp. 430–478. Lecture Notes in Math.882. Berlin-Heidelberg-New York: Springer 1981
Roggenkamp, K.W.: The Auslander-Reiten quiver of Bäckström orders. Preprint
Wiedemann, A.: The Auslander-Reiten graph of integral blocks, with cyclic defect two and their integral representations. Math. Z.179, 407–429 (1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dieterich, E. Construction of Auslander-Reiten quivers for a class of group rings. Math Z 184, 43–60 (1983). https://doi.org/10.1007/BF01162006
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01162006