ON PROJECTIVELY INERT SUBGROUPS OF COMPLETELY DECOMPOSABLE FINITE RANK GROUPS

被引：1
|
作者：
Chekhlov, A. R. [1 ]
Ivanets, O., V [1 ]
机构：
[1] Tomsk State Univ, Tomsk, Russia
来源：
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2020年 / 67期
基金：
俄罗斯基础研究基金会;
关键词：
projectively inert subgroup; fully invariant subgroup; commensurable subgroups; index of the subgroup; completely decomposable group;
D O I：
10.17223/19988621/67/6
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Let a group G be a finite direct sum of torsion-free rank 1 groups G(i). It is proved that every projectively inert subgroup of G is commensurate with a fully invariant subgroup if and only if all G(i) are not divisible by any prime number p, and for different subgroups G(i) and G(j) their types are either equal or incomparable.
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页码：63 / 68
页数：6
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