Restriction of Odd Degree Characters of S_n

TY - JOUR

T1 - Restriction of Odd Degree Characters of Sn

AU - Bessenrodt, Christine

AU - Giannelli, Eugenio

AU - Olsson, Jørn B.

PY - 2017/9/5

Y1 - 2017/9/5

N2 - Let n and k be natural numbers such that 2k < n. We study the restriction to Sn–2k of odd-degree irreducible characters of the symmetric group Sn. This analysis completes the study begun in [Ayyer A., Prasad A., Spallone S., Sém. Lothar. Combin. 75 (2015), Art. B75g, 13 pages] and recently developed in [Isaacs I.M., Navarro G., Olsson J.B., Tiep P.H., J. Algebra 478 (2017), 271-282].

AB - Let n and k be natural numbers such that 2k < n. We study the restriction to Sn–2k of odd-degree irreducible characters of the symmetric group Sn. This analysis completes the study begun in [Ayyer A., Prasad A., Spallone S., Sém. Lothar. Combin. 75 (2015), Art. B75g, 13 pages] and recently developed in [Isaacs I.M., Navarro G., Olsson J.B., Tiep P.H., J. Algebra 478 (2017), 271-282].

U2 - 10.3842/SIGMA.2017.070

DO - 10.3842/SIGMA.2017.070

M3 - Journal article

SN - 1815-0659

VL - 13

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 070

ER -