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Finite Solvable Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees

✍ Scribed by Yakov Berkovich


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
234 KB
Volume
184
Category
Article
ISSN
0021-8693

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✦ Synopsis


955᎐959 classified all groups in which the degrees of the nonlinear irreducible characters are distinct. In this paper we classify all solvable groups in which only two nonlinear irreducible Ž . characters have equal degrees Theorem 7 . ᮊ 1996 Academic Press, Inc. 1 q2m Ž m . order p , ES m, p the extraspecial group of order p , Q 2 the U The author was supported in part by the Ministry of Absorption of Israel. 584


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Berkovich et al. Proc. Amer. Math. Soc. 115 1992 , 955᎐959 classified finite groups in which the degrees of the nonlinear irreducible characters are distinct. w Ž . x Theorem 24.7 from Y. Berkovich, J. Algebra 184 1996 , 584᎐603 contains the classification of solvable groups in which only two nonli