A Characterization of Permutation Modules Extending a Theorem of Weiss

  • John William MacQuarrie

    Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil
  • Pavel Zalesskii

    Universidade de Brasília, Brazil
A Characterization of Permutation Modules Extending a Theorem of Weiss cover
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Abstract

Let be a finite -group with normal subgroup . A celebrated theorem of A. Weiss gives a sufficient condition for a -lattice to be a permutation module, looking only at its restriction to and its -fixed points. In case has order , we extend the condition of Weiss to a characterization.

Cite this article

John William MacQuarrie, Pavel Zalesskii, A Characterization of Permutation Modules Extending a Theorem of Weiss. Doc. Math. 25 (2020), pp. 1159–1169

DOI 10.4171/DM/772