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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical logic, algebra and number theory
The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels
Danila O. Revinab, Andrei V. Zavarnitsinea a Sobolev Institute of Mathematics, 4, Koptyug ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
Abstract:
We explore the extent to which constructing the inductive theory of $\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\mathfrak{X}$-submaximal subgroups under homomorphisms with $\mathfrak{X}$-separable kernels and construct examples where such behavior is irregular.
Keywords:
$\mathfrak{X}$-maximal subgroup, $\mathfrak{X}$-submaximal subgroup, complete class, $\pi$-separable group.
Received June 17, 2020, published August 24, 2020
Citation:
Danila O. Revin, Andrei V. Zavarnitsine, “The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels”, Sib. Èlektron. Mat. Izv., 17 (2020), 1155–1164
Linking options:
https://www.mathnet.ru/eng/semr1281 https://www.mathnet.ru/eng/semr/v17/p1155
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Abstract page: | 353 | Full-text PDF : | 62 | References: | 45 |
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