#### Vol. 6, No. 2, 2013

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Decomposing induced characters of the centralizer of an $n$-cycle in the symmetric group on $2n$ elements

### Joseph Ricci

Vol. 6 (2013), No. 2, 221–232
##### Abstract

We give explicit multiplicities and formulas for multiplicities of the characters appearing in the decomposition of the induced character ${Ind}_{{C}_{{S}_{2n}}\left(\sigma \right)}^{{S}_{2n}}{1}_{C}$, where $\sigma$ is an $n$-cycle, ${C}_{{S}_{2n}}“\left(\sigma \right)$ is the centralizer of $\sigma$ in ${S}_{2n}$, and ${1}_{C}“$ is the trivial character on ${C}_{{S}_{2n}}\left(\sigma \right)$.

##### Keywords
representation theory, symmetric group, character theory
Primary: 20C30
Secondary: 20C15