Dergiler / International Electronic Journal of Algebra / 2011 / Cilt: 9 - Sayı: 9

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

Jinshan Zhang, Zaixin Li, Changguo Shao

Sayfa
114–123
DOI
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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 A5, where A5 is the alternating group of degree 5.