On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV
Trudy Instituta matematiki, Tome 32 (2024) no. 2, pp. 17-30
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The article is the fourth in a series of papers, where for a set $\pi$ consisting of odd primes, finite $\pi$-solvable irreducible complex linear groups of degree $2|H|+1$ are investigated, for which Hall $\pi$-subgroups are $TI$-subgroups and are not normal in groups. The purpose of the series is to prove solvability and to determine the conditions for factorization of such groups.
Keywords:
finite groups, characters, factorizations of groups.
@article{TIMB_2024_32_2_a1,
author = {A. A. Yadchenko},
title = {On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. {Part} {IV}},
journal = {Trudy Instituta matematiki},
pages = {17--30},
publisher = {mathdoc},
volume = {32},
number = {2},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2024_32_2_a1/}
}
TY - JOUR AU - A. A. Yadchenko TI - On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV JO - Trudy Instituta matematiki PY - 2024 SP - 17 EP - 30 VL - 32 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2024_32_2_a1/ LA - ru ID - TIMB_2024_32_2_a1 ER -
A. A. Yadchenko. On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV. Trudy Instituta matematiki, Tome 32 (2024) no. 2, pp. 17-30. http://geodesic.mathdoc.fr/item/TIMB_2024_32_2_a1/