Supercharacter theories for algebra group extensions

2018/08/28 by A. N. Panov, Panov, A. N.
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1808.09366

Abstract

We construct a few supercharacter theories for finite semidirect products with the normal subgroup of algebra group type. In the case of algebra groups, these supercharacter theories coincide with the one of P.Diaconis and I.M.Isaaks. For the parabolic subgroups of GL(n), the supercharacters and superclasses are classified.

Related

• Construction of supercharacter theories of finite groups
• Supercharacter Theories and Semidirect Products
• Supercharacters for the finite groups of triangular type
• Normal Supercharacter Theory
• Towards a supercharacter theory of the parabolic subgroups