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Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups

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Part of the book series: NATO ASI Series ((ASIC,volume 129))

Abstract

This talk presented a preliminary version of joint work with L.L.Scott on the isomorphism problem for finite groups. Since a detailed version of the results is going to appear in Proceedings Groups — Korea 1983, I shall here only state the main results.

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References

  1. Endo, S., T. Miyata, K. Sekiguchi: “Picard groups and automorphism groups of dihedral group rings of metacyclic groups”, J. of Algebra 77 (1982), 286–310.

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  2. Gruenberg, K. W., K. W. Roggenkamp: “Extension categories of groups and modules, I: Essential covers”, J. of Algebra 49, Nr. 2 (1977), 564–594.

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  3. Gruenberg, K. W., K. W. Roggenkamp: “Extension categories of groups and modules, II: Stem extensions”, J.of Algebra, 67, Nr. 2 (1980), 342–368.

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  4. Sekiguchi, K.: “On the automorphism group of the p-adic group ring of a metacyclic p-group”, Preprint.

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© 1984 D. Reidel Publishing Company

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Roggenkamp, K.W. (1984). Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups. In: van Oystaeyen, F. (eds) Methods in Ring Theory. NATO ASI Series, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6369-6_31

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  • DOI: https://doi.org/10.1007/978-94-009-6369-6_31

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6371-9

  • Online ISBN: 978-94-009-6369-6

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