Subgroups in T-groups

P. V. Gavron; L. Yu Kolotilina

doi:10.1007/BF01094372

Subgroups in T-groups

P. V. Gavron
, L. Yu Kolotilina

Department of Mathematics (RMS/RMS1)

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

Abstract

A subgroup D of the group G is called polynormal if for it there exists a fan (RZhMat, 1980, 5A208) and all basis subgroups G_α of this fan are D-complete (i.e., D^G_α=G_α). All subgroups in G are polynormal if and only if G is a T-group (the relation of normality for subgroups is transitive).

Original language	English
Pages (from-to)	426-428
Number of pages	3
Journal	Journal of Soviet Mathematics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/BF01094372
Publication status	Published - Feb 1984

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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Cite this

@article{edcc9b5eb47c4cf693d7365e523ee16a,

title = "Subgroups in T-groups",

abstract = "A subgroup D of the group G is called polynormal if for it there exists a fan (RZhMat, 1980, 5A208) and all basis subgroups Gα of this fan are D-complete (i.e., DGα=Gα). All subgroups in G are polynormal if and only if G is a T-group (the relation of normality for subgroups is transitive).",

author = "Gavron, \{P. V.\} and Kolotilina, \{L. Yu\}",

year = "1984",

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language = "English",

volume = "24",

pages = "426--428",

journal = "Journal of Soviet Mathematics",

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T1 - Subgroups in T-groups

AU - Gavron, P. V.

AU - Kolotilina, L. Yu

PY - 1984/2

Y1 - 1984/2

N2 - A subgroup D of the group G is called polynormal if for it there exists a fan (RZhMat, 1980, 5A208) and all basis subgroups Gα of this fan are D-complete (i.e., DGα=Gα). All subgroups in G are polynormal if and only if G is a T-group (the relation of normality for subgroups is transitive).

AB - A subgroup D of the group G is called polynormal if for it there exists a fan (RZhMat, 1980, 5A208) and all basis subgroups Gα of this fan are D-complete (i.e., DGα=Gα). All subgroups in G are polynormal if and only if G is a T-group (the relation of normality for subgroups is transitive).

UR - https://www.scopus.com/pages/publications/34250133025

U2 - 10.1007/BF01094372

DO - 10.1007/BF01094372

M3 - Article

AN - SCOPUS:34250133025

SN - 0090-4104

VL - 24

SP - 426

EP - 428

JO - Journal of Soviet Mathematics

JF - Journal of Soviet Mathematics

IS - 4

ER -

Subgroups in T-groups

Abstract

ASJC Scopus subject areas

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