FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER

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International Electronic Journal of Algebra
Volume:9 Issue:9
FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER

FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER

Authors : Jinshan Zhang, Zaixin Li, Changguo Shao

Pages : 114-123

View : 18 | Download : 11

Publication Date : 2011-06-01

Article Type : Research Paper

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 A5, where A5 is the alternating group of degree 5.
Keywords : finite groups, characters, zeros of characters

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