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Coprime Actions and Characters Non-vanishing on the Fixed-point Subgroup

Hou, Eric
arXiv (OAI Expanded) · Papers
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group-theory
Let a finite group $A$ act coprimely on a finite group $G$ and put $C=C_G(A)$. A classical theorem of Burnside asserts that the irreducible characters of a group vanishing nowhere are exactly the linear ones, and Navarro asked in Problem 21.100 of the 21st Kourovka Notebook whether the coprime analo
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