A Compendium of Infinite Group Theory: Part 1-Countable Recognizability

被引：2

作者：

de Giovanni, Francesco ^{[1
]}

Trombetti, Marco ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, I-80138 Naples, Italy

来源：

MATHEMATICS | 2021年 / 9卷 / 19期

关键词：

countable recognizability; group class; TORSION-FREE GROUPS; COUNTABLE RECOGNIZABILITY; SUBGROUPS; NILPOTENT; SERIES;

D O I：

10.3390/math9192366

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Countably recognizable group classes were introduced by Reinhold Baer and provide a very ingenious way to study large groups through the properties of their countable subgroups. This is the reason we have chosen the countable recognizability to start this series of survey papers on infinite group theory.

引用

页数：17

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