Linear characters of Sylow subgroups of symmetric groups

[摘要] Let p be any prime. Let P-n be a Sylow p-subgroup of the symmetric group S-n. Let phi and psi be linear characters of P-n and let N be the normaliser of P-n in S-n. In this article we show that the inductions of phi and psi to S-n are equal if, and only if, phi and psi are N-conjugate. This is an analogue for symmetric groups of a result of Navarro for p-solvable groups. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-15

[关键词] Linear characters;Sylow subgroups;Symmetric groups