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Finite Groups Whose Irreducible Characters Vanish Only On Elements Of Prime Power Order

Jinshan Zhang,Zaixin Li,Changguo Shao

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA（2011）

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Abstract
The aim of this note is to investigate the finite groups whose irreducible characters vanish only on elements of prime power order. Interesting, we give a new characterization of A(5), where A(5) is the alternating group of degree 5.
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finite groups, characters, zeros of characters
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