FINITE SOLVABLE-GROUPS IN WHICH ONLY 2 NONLINEAR IRREDUCIBLE CHARACTERS HAVE EQUAL DEGREES

Authors
Citation
Y. Berkovich, FINITE SOLVABLE-GROUPS IN WHICH ONLY 2 NONLINEAR IRREDUCIBLE CHARACTERS HAVE EQUAL DEGREES, Journal of algebra, 184(2), 1996, pp. 584-603
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
184
Issue
2
Year of publication
1996
Pages
584 - 603
Database
ISI
SICI code
0021-8693(1996)184:2<584:FSIWO2>2.0.ZU;2-Y
Abstract
Berkovich et al. [Proc. Amer. Math. Sec. 115 (1992), 955-959] classifi ed all groups in which the degrees of the nonlinear irreducible charac ters are distinct. In this paper we classify all solvable groups in wh ich only two nonlinear irreducible characters have equal degrees (Theo rem 7). (C) 1996 Academic Press, Inc.