### Abstract

Original language | English |
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Journal | Communications in Algebra |

Publication status | Accepted/In press - 2 Jan 2020 |

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*Communications in Algebra*.

**Restriction of characters to subgroups of wreath products and basic sets for the symmetric group.** / Gramain, Jean-Baptiste; Marciuk, Adriana.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Restriction of characters to subgroups of wreath products and basic sets for the symmetric group

AU - Gramain, Jean-Baptiste

AU - Marciuk, Adriana

PY - 2020/1/2

Y1 - 2020/1/2

N2 - In this paper, we give the decomposition into irreducible characters of the restriction to the wreath product Zp−1 o Sw of any irreducible character of (Zp o Zp−1) o Sw, where p is any odd prime, w ≥ 0 is an integer, and Zp and Zp−1 denote the cyclic groups of order p and p − 1 respectively. This answers the question of how to decompose the restrictions to p-regular elements of irreducible characters of the symmetric group Sn in the Z-basis corresponding to the p-basic set of Sn described by Brunat and Gramain in [1]. The result is given in terms of the Littlewood-Richardson coefficients for the symmetric group.

AB - In this paper, we give the decomposition into irreducible characters of the restriction to the wreath product Zp−1 o Sw of any irreducible character of (Zp o Zp−1) o Sw, where p is any odd prime, w ≥ 0 is an integer, and Zp and Zp−1 denote the cyclic groups of order p and p − 1 respectively. This answers the question of how to decompose the restrictions to p-regular elements of irreducible characters of the symmetric group Sn in the Z-basis corresponding to the p-basic set of Sn described by Brunat and Gramain in [1]. The result is given in terms of the Littlewood-Richardson coefficients for the symmetric group.

M3 - Article

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

ER -