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math.RT2007★ 1 cited
Primitive Characters and Permutation Characters of Solvable Groups
Tom Wilde
Let X be an irreducible, primitive complex character of the finite solvable group G, and let X* denote the complex conjugate character. If the degree X(1) is odd, then we show how…
math.RT2006★ 2 cited
Orders of elements and zeros and heights of characters in a finite group
Tom Wilde
Let χbe an irreducible character of the finite group G. If g is an element of G and χ(g) is not zero, then we conjecture that the order of g divides |G|/χ(1). The conjecture is a g…