A criterion of elementary equivalence of automorphism groups of reduced Abelian p-groups

被引：0

作者：

Roizner M.A. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2013年 / 193卷 / 4期

关键词：

Automorphism Group; Endomorphism Ring; Associative Ring; Chevalley Group; Basic Subgroup;

D O I：

10.1007/s10958-013-1485-4

中图分类号：

学科分类号：

摘要：

Consider reduced Abelian p-groups (p ≥ 3) A 1 and A 2. In this paper, we prove that the automorphism groups Aut A 1 and Aut A 2 are elementary equivalent if and only if the groups A 1 and A 2 are equivalent in second-order logic bounded by the cardinalities of the basic subgroups of A 1 and A 2. © 2013 Springer Science+Business Media New York.

引用

页码：586 / 590

页数：4

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