A remark on the permutation representations afforded by the embeddings of \(\mathrm{O}_{2m}^\pm(2^f)\) in \(\mathrm{Sp}_{2m}(2^f)\)

Authors

  • S. Guest University of Southampton
  • A. Previtali University of Milano-Bicocca
  • P. Spiga University of Milano-Bicocca

Keywords:

permutation groups, permutation character

Abstract

We show that the permutation module over \(\mathbb{C}\) afforded by the action of \(\mathrm{Sp}_{2m}(2^f)\) on its natural module is isomorphic to the permutation module over \(\mathbb{C}\) afforded by the action of \(Sp_{2m}(2^f)\) on the union of the right cosets of \(\mathrm{O}_{2m}^+(2^f)\) and \(\mathrm{O}_{2m}^-(2^f)\). 10.1017/S0004972713000828

Published

2014-01-27

Issue

Vol. 89 No. 2 (2014)

Section

Articles
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