×

Finite groups with two rows which differ in only one entry in character tables. (English) Zbl 07396189

Summary: Let \(G\) be a finite group. If \(G\) has two rows which differ in only one entry in the character table, we call \(G\) an RD1-group. We investigate the character tables of RD1-groups and get some necessary and sufficient conditions about RD1-groups.

MSC:

20C15 Ordinary representations and characters
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Bianchi, M.; Herzog, M., Finite groups with non-trivial intersections of kernels of all but one irreducible characters, Int. J. Group Theory, 7, 63-80 (2018) · Zbl 1446.20015
[2] Chillag, D., On zeros of characters of finite groups, Proc. Am. Math. Soc., 127, 977-983 (1999) · Zbl 0917.20007
[3] Gagola, S. M Jr., Characters vanishing on all but two conjugacy classes, Pac. J. Math., 109, 363-385 (1983) · Zbl 0536.20005
[4] Grove, L. C., Groups and Characters. Pure and Applied Mathematics (1997), New York: John Wiley & Sons, New York · Zbl 0896.20001
[5] Isaacs, I. M., Character Theory of Finite Groups (1976), New York: Academic Press, New York · Zbl 0337.20005
[6] James, G.; Liebeck, M., Representations and Characters of Groups (2001), New York: Cambridge University Press, New York · Zbl 0981.20004
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.