Geodesic
Restriction and induction for supercharacters of finite groups of triangular type
Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 977-991

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

It is proved that the restriction of any supercharacter of a finite group of triangular type to its subgroup is a sum of supercharacters with nonnegative integer coefficients. We define a superinduction and prove the analogue of Frobenius's reciprocity formula for supercharacters. Bibliography: 21 titles.
Keywords: supercharacter theory, triangular group, induced character, Frobenius reciprocity. 
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     author = {A. N. Panov},
     title = {Restriction and induction for supercharacters of finite groups of triangular type},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2017_208_7_a2/}
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A. N. Panov. Restriction and induction for supercharacters of finite groups of triangular type. Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 977-991. http://geodesic.mathdoc.fr/item/SM_2017_208_7_a2/