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Title

SOME REMARKS ON THE NUMBER OF NONLINEAR FAITHFUL CHARACTERS

Writers

SAEIDI AMIN

Pages

 Start Page | End Page

Abstract

 LET G BE A FINITE GROUP. ASSUME THAT FOR EACH NORMAL SUBGROUP N OF G NOT CONTAINING G ′, G/N HAS AT MOST N FAITHFUL IRREDUCIBLE CHARACTERS. WE DENOTE THE LEAST NUMBER WITH THIS PROPERTY BY ¡1(G) AND PROVE MANY RESULTS FOR CERTAIN VALUES OF ¡1(G). WE SHOW AMONG OTHER THINGS THAT IF ¡1(G) = 1 THEN G IS SOLVABLE.

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