Abstract
AbstractLet G be a finite group and
$\mathrm {Irr}(G)$
the set of all irreducible complex characters of G. Define the codegree of
$\chi \in \mathrm {Irr}(G)$
as
$\mathrm {cod}(\chi ):={|G:\mathrm {ker}(\chi ) |}/{\chi (1)}$
and denote by
$\mathrm {cod}(G):=\{\mathrm {cod}(\chi ) \mid \chi \in \mathrm {Irr}(G)\}$
the codegree set of G. Let H be one of the
$26$
sporadic simple groups. We show that H is determined up to isomorphism by cod
$(H)$
.
Publisher
Cambridge University Press (CUP)
Reference19 articles.
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1 articles.
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1. ON THE CHARACTERISATION OF ALTERNATING GROUPS BY CODEGREES;Bulletin of the Australian Mathematical Society;2024-01-26