ON SOLVABILITY OF CERTAIN IRREDUCIBLE LINEAR GROUPS

YADCHENKO, ALEKSEY (2015) ON SOLVABILITY OF CERTAIN IRREDUCIBLE LINEAR GROUPS. Asian Journal of Mathematics and Computer Research, 5 (1). pp. 20-37.

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Abstract

The paper particularly shows that a π-solvable irreducible linear group G of the power of n less than 2|H|, whose π-Hall TI-subgroup H is not normal in G, is solvable, probably with the exception of the case n = 2(|H| − 1). In this case we have (CG(H))π′/Z(G) ≅ PSL(2, 5).

Item Type: Article
Subjects: Institute Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 27 Dec 2023 05:47
Last Modified: 27 Dec 2023 05:47
URI: http://eprint.subtopublish.com/id/eprint/3883

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