ON SOLVABILITY OF CERTAIN IRREDUCIBLE LINEAR GROUPS

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Published: 2015-06-10

Page: 20-37


ALEKSEY YADCHENKO *

Institute of Mathematics of the National Academy of Sciences of the Republic of Belarus, 32a Kirova Street, 246050 Gomel, Republic of Belarus.

*Author to whom correspondence should be addressed.


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).

Keywords: A finite groups, a normal subgroups, a characters of groups, cosimple automorphisms of groups


How to Cite

YADCHENKO, A. (2015). ON SOLVABILITY OF CERTAIN IRREDUCIBLE LINEAR GROUPS. Asian Journal of Mathematics and Computer Research, 5(1), 20–37. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/140

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