Geodesic
On the conjecture about semiproportional characters in the groups~$\mathrm{Sp}_4(q)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 30-46

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Previously, the author made the following conjecture: if a finite group has two semiproportional irreducible characters $\varphi$ and $\psi$, then $\varphi(1)=\psi(1)$. In the present paper, a new confirmation of the conjecture is obtained. Namely, the conjecture is verified for the symplectic groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$.
Keywords: finite symplectic groups, character table, semiproportional characters, small interactions. 
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     author = {V. A. Belonogov},
     title = {On the conjecture about semiproportional characters in the groups~$\mathrm{Sp}_4(q)$},
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V. A. Belonogov. On the conjecture about semiproportional characters in the groups~$\mathrm{Sp}_4(q)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 30-46. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a4/