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Original Articles

A note on the Glauberman correspondence

Pages 3222-3227 | Received 04 May 2016, Published online: 17 Jan 2018

References

  • Broué, M. (1990). Isométries Parfaites, Types de Blocs, Catégories Dérivées. Astérisque, pp. 61–92.
  • Glauberman, G. (1968). Correspondences of characters for relatively prime operator groups. Canad. J. Math. 20:1465–1488.
  • Harris, M. E. (2005). Glauberman-Watanabe corresponding p-blocks of finite groups with normal defect groups are Morita equivalent. Trans. Am. Math. Soc. 357:309–335 (electronic).
  • Harris, M. E., Linckelmann, M. (2002). On the Glauberman and Watanabe correspondences for blocks of finite p-solvable groups. Trans. Am. Math. Soc. 354:3435–3453.
  • Isaacs, I. M., Navarro, G. (1991). Character correspondences and irreducible induction and restriction. J. Algebra 140:131–140.
  • Koshitani, S., Michler, G. (2001). Glauberman correspondence of p-blocks of finite groups. J. Algebra 243:504–517.
  • Külshammer, B., Puig, L. (1990). Extensions of nilpotent blocks. Invent. Math. 102:17–71.
  • Puig, L. (1988). Nilpotent blocks and their source algebras. Invent. Math. 93:77–116.
  • Puig, L. (1999). On the Local Structure of Morita and Rickard Equivalences Between Brauer Blocks. Progress in Mathematics, Vol. 178. Basel: Birkhäuser.
  • Puig, L., Zhou, Y. (2012). Glauberman correspondents and extensions of nilpotent block algebras. J. London Math. Soc. (2) 85809–837.
  • Thévenaz, J. (1995). G-Algebras and Modular Representation Theory. New York: Oxford University Press.
  • Watanabe, A. (1999). The Glauberman character correspondence and perfect isometries for blocks of finite groups. J. Algebra 216:548–565.
  • Watanabe, A. (2008). The Glauberman correspondent of a nilpotent block of a finite group. Osaka J. Math. 45:869–875.

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