Geodesic
On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 46-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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Previously the author stated the following conjecture: if two columns of the character table of a finite group corresponding to two of its classes of conjugate elements are semiproportional, then the cardinality of one of these classes divides the cardinality of the other. We obtain a new confirmation of this conjecture. Namely, the conjecture is verified for the symplectic groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ for odd $q$. For even $q$ the conjecture was proved by the author earlier.
Keywords: finite symplectic groups, character table, semiproportional functions. 
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V. A. Belonogov. On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 46-53. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a5/

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