Geodesic
Young diagrams without hooks of length 4 and characters of the group $S_n$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 3, pp. 30-40 
V. A. Belonogov. Young diagrams without hooks of length 4 and characters of the group $S_n$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 3, pp. 30-40. http://geodesic.mathdoc.fr/item/TIMM_2007_13_3_a2/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

All finite Young diagrams not containing hooks of length 4 are found. Self-associated diagrams possessing this property are subdivided into three series. Sets of all hook lengths are determined for diagrams contained in each series. The research conducted has proven necessary for the study of certain pairs of irreducible characters of symmetric and alternating groups.

[1] James G., Kerber A., The representation theory of the symmetric group, Addison-Wesley, London, 1981 | MR

[2] Dzheims G., Teoriya predstavlenii simmetricheskikh grupp, Mir, M., 1982 | MR

[3] Belonogov V. A., Predstavleniya i kharaktery v teorii konechnykh grupp, UrO AN SSSR, Sverdlovsk, 1990 | MR

[4] Belonogov V. A., “O neprivodimykh kharakterakh grupp $S_n$ i $A_n$”, Sib. mat. zhurn., 45:5 (2004), 977–994 | MR | Zbl

[5] Belonogov V. A., “O nekotorykh parakh neprivodimykh kharakterov grupp $S_n$ i $A_n$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 13, no. 1, Ekaterinburg, 2007, 11–43 | MR

[6] Belonogov V. A., “O nekotorykh parakh neprivodimykh kharakterov grupp $S_n$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 13, no. 2, Ekaterinburg, 2007, 13–32

[7] Belonogov V. A., “O neprivodimykh kharakterov gruppy $S_n$, poluproportsionalnykh na $A_n$”, Algebra i logika, 47:2 (2008), 135–156 | MR | Zbl