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The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels. / Revin, Danila O.; Zavarnitsine, Andrei V.

In: Siberian Electronic Mathematical Reports, Vol. 17, 2020, p. 1155-1164.

Research output: Contribution to journal › Article › peer-review

Harvard

Revin, DO & Zavarnitsine, AV 2020, 'The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels', Siberian Electronic Mathematical Reports, vol. 17, pp. 1155-1164. https://doi.org/10.33048/semi.2020.17.087

APA

Revin, D. O., & Zavarnitsine, A. V. (2020). The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels. Siberian Electronic Mathematical Reports, 17, 1155-1164. https://doi.org/10.33048/semi.2020.17.087

Vancouver

Revin DO, Zavarnitsine AV. The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels. Siberian Electronic Mathematical Reports. 2020;17:1155-1164. doi: 10.33048/semi.2020.17.087

Author

Revin, Danila O. ; Zavarnitsine, Andrei V. / The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels. In: Siberian Electronic Mathematical Reports. 2020 ; Vol. 17. pp. 1155-1164.

BibTeX

@article{744dc9afc0cf4f0180b31f4dba16ba38,
title = "The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels",
abstract = "We explore the extent to which constructing the inductive theory of X-submaximal subgroups is possible. To this end, we study the behavior of X-submaximal subgroups under homomorphisms with X-separable kernels and construct examples where such behavior is irregular.",
keywords = "complete class, [Figure Presented]-maximal subgroup, [Figure Presented]-submaximal subgroup, π-separable group, pi-separable group, X-maximal subgroup, X-submaximal subgroup",
author = "Revin, {Danila O.} and Zavarnitsine, {Andrei V.}",
note = "Funding Information: Acknowledgment. This work was funded by RFBR and BRFBR, project  20-51-00007 and by the Program of Fundamental Scientific Research of the SB RAS  I.1.1., project  0314-2016-0001.",
year = "2020",
doi = "10.33048/semi.2020.17.087",
language = "English",
volume = "17",
pages = "1155--1164",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - The behavior of π-submaximal subgroups under homomorphisms with π-separable kernels

AU - Revin, Danila O.

AU - Zavarnitsine, Andrei V.

N1 - Funding Information: Acknowledgment. This work was funded by RFBR and BRFBR, project  20-51-00007 and by the Program of Fundamental Scientific Research of the SB RAS  I.1.1., project  0314-2016-0001.

PY - 2020

Y1 - 2020

N2 - We explore the extent to which constructing the inductive theory of X-submaximal subgroups is possible. To this end, we study the behavior of X-submaximal subgroups under homomorphisms with X-separable kernels and construct examples where such behavior is irregular.

AB - We explore the extent to which constructing the inductive theory of X-submaximal subgroups is possible. To this end, we study the behavior of X-submaximal subgroups under homomorphisms with X-separable kernels and construct examples where such behavior is irregular.

KW - complete class

KW - [Figure Presented]-maximal subgroup

KW - [Figure Presented]-submaximal subgroup

KW - π-separable group

KW - pi-separable group

KW - X-maximal subgroup

KW - X-submaximal subgroup

UR - http://www.scopus.com/inward/record.url?scp=85099255710&partnerID=8YFLogxK

U2 - 10.33048/semi.2020.17.087

DO - 10.33048/semi.2020.17.087

M3 - Article

AN - SCOPUS:85099255710

VL - 17

SP - 1155

EP - 1164

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 27487415