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Linear group actions with at most three orbits of the largest size
(Springer, 2023)
Let G be a finite group and let V be a finite completely reducible faithful G-module, possibly of mixed characteristic. The second author and Yong Yang proved in previous work that | G: G′| ≤ M, where M is the largest orbit ...
Finite solvable groups with two imprimitive monolithic characters
(World Scientific Publishing, 2023)
Let G be a finite group and let χ be an irreducible character of G. If G/kerχ has a unique minimal normal subgroup, then χ is called monolithic. The character χ is said to be imprimitive if χ is induced from a character ...