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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TIMM_2015_21_3_a5,
     author = {V. A. Belonogov},
     title = {On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {46--53},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a5/}
}
TY  - JOUR
AU  - V. A. Belonogov
TI  - On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2015
SP  - 46
EP  - 53
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a5/
LA  - ru
ID  - TIMM_2015_21_3_a5
ER  - 
%0 Journal Article
%A V. A. Belonogov
%T On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$
%J Trudy Instituta matematiki i mehaniki
%D 2015
%P 46-53
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a5/
%G ru
%F TIMM_2015_21_3_a5
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/