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Abelian and hamiltonian groups with isomorphic Burnside rings are isomorphic

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References

  1. S. Delsarte, Fonctions de Möbius sur les groupes abeliens finis. Ann. of Math.49, 600–609 (1948).

    Google Scholar 

  2. S.Deo and K.Varadarajan, Isomorphic Burnside rings. J. Algebra, to appear.

  3. S.Deo and K.Varadarajan, Isomorphic Burnside rings II. Preprint.

  4. A. W. M. Dress, A characterization of solvable groups. Math. Z.110, 213–217 (1969).

    Google Scholar 

  5. A. W. M.Dress and E.Vallejo, A simple proof for a result by Kratzer and Thévenaz concerning the embedding of the Burnside ring into its ghost ring. Preprint.

  6. H. Krämer, Über die Automorphismengruppe des Burnsideringes endlicher abelscher Gruppen. J. Algebra30, 279–293 (1974).

    Google Scholar 

  7. Ch. Kratzer etJ. Thévenaz, Anneau de Burnside et fonction de Möbius d'un groupe fini. Comment. Math. Helv.59, 425–438 (1984).

    Google Scholar 

  8. J. Thévenaz, Isomorphic Burnside rings. Comm. Algebra16, 1945–1947 (1988).

    Google Scholar 

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Raggi-Cárdenas, A., Vallejo, E. Abelian and hamiltonian groups with isomorphic Burnside rings are isomorphic. Arch. Math 58, 121–125 (1992). https://doi.org/10.1007/BF01191875

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