A Characterization of Permutation Modules Extending a Theorem of Weiss
John William MacQuarrie
Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, MG, BrazilPavel Zalesskii
Universidade de Brasília, Brazil
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