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.
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页码：586 / 590
页数：4
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