Glasnik Matematicki, Vol. 47, No. 1 (2012), 143-148.

A NOTE ON CHARACTER SQUARE

Guohua Qian and Tianze Li

Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P. R. China.
e-mail: tzli@cslg.edu.cn

Abstract.   We study the finite groups with an irreducible character χ satisfying the following hypothesis: χ² has exactly two distinct irreducible constituents, and one of which is linear, and then obtain a result analogous to the Zhmud's ([8]).

2010 Mathematics Subject Classification.   20C15.

Key words and phrases.   Finite group, character square.

DOI: 10.3336/gm.47.1.11

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