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On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV

Abstract

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.

About the Author

A. A. Yadchenko
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus

Minsk



References

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2. Yadchenko A. A. On the solvability and factorization of some π-solvable irreducible linear groups of primary degree. Part II. Proceedings of the Institute of Mathematics, 2023, vol. 31, no. 1, pp. 77–89 (in Russian).

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Review

For citations:


Yadchenko A.A. On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2024;32(2):17-30. (In Russ.)

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ISSN 1812-5093 (Print)