PROPER FULLY INVARIANT SUBGROUPS OF TORSION FREE GROUPS ISOMORPHIC TO THE GROUP

被引：0

作者：

Grinshpon, Samuil Yakovlevich ^{[1
]}

Nikolskaya, Maria Mikhailovna ^{[2
]}

机构：

[1] Tomsk State Univ, Tomsk, Russia

[2] Tomsk State Univ Architecture & Bldg, Tomsk, Russia

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2012年 / 17期

关键词：

Abelian group; IF-group; fully invariant subgroup; torsion free group;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work, we study torsion free groups containing proper fully invariant subgroups isomorphic to the group.

引用

页码：11 / 15

页数：5

共 50 条

[1] ON ABELIAN GROUPS HAVING ALL PROPER FULLY INVARIANT SUBGROUPS ISOMORPHIC
Chekhlov, A. R.
Danchev, P. V.
COMMUNICATIONS IN ALGEBRA, 2015, 43 (12) : 5059 - 5073
[2] Abelian Groups Isomorphic to a Proper Fully Invariant Subgroup
Grinshpon S.Y.
Nikolskaya M.M.
Journal of Mathematical Sciences, 2021, 259 (4) : 403 - 419
[3] On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups
Chekhlov, A. R.
Danchev, P. V.
MATHEMATICAL NOTES, 2023, 114 (5-6) : 716 - 727
[4] On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups
A. R. Chekhlov
P. V. Danchev
Mathematical Notes, 2023, 114 : 716 - 727
[5] GROUPS WITH ISOMORPHIC PROPER SUBGROUPS
BEAUMONT, RA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (06) : 381 - 387
[6] Primary Abelian Groups Isomorphic to the Proper Fully Invariant Subgroup
Grinshpon, S. Ya.
Nikolskaya, M. M.
COMMUNICATIONS IN ALGEBRA, 2015, 43 (09) : 3655 - 3662
[7] A QUASI-DECOMPOSABLE ABELIAN GROUP WITHOUT PROPER ISOMORPHIC QUOTIENT GROUPS AND PROPER ISOMORPHIC SUBGROUPS
IRWIN, JM
ITO, T
PACIFIC JOURNAL OF MATHEMATICS, 1969, 29 (01) : 151 - &
[8] Torsion-free groups isomorphic to all of their non-nilpotent subgroups
Longobardi, P
Maj, M
Smith, H
Wiegold, J
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 2001, 71 : 339 - 347
[9] ON ABELIAN GROUPS HAVING ISOMORPHIC PROPER CHARACTERISTIC SUBGROUPS
Chekhlov, Andrey R.
Danchev, Peter, V
JOURNAL OF COMMUTATIVE ALGEBRA, 2023, 15 (04) : 481 - 496
[10] Maximal invariant proper subgroups of a finite group
Miller, GA
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 : 587 - 590

← 1 2 3 4 5 →