Semiproportional irreducible characters of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ for odd~$q$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 25-40
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All pairs of semiproportional irreducible characters (in other terms, small $D$-blocks) of symplectic groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ are obtained for odd $q$. In particular, two earlier-known conjectures on such pairs of characters in an arbitrary finite group are verified for these groups.
Keywords:
finite symplectic groups, character table, semiproportional characters, small interactions.
@article{TIMM_2013_19_1_a2,
author = {V. A. Belonogov},
title = {Semiproportional irreducible characters of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ for odd~$q$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {25--40},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a2/}
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V. A. Belonogov. Semiproportional irreducible characters of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ for odd~$q$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 25-40. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a2/