On the q-tensor square of a group

被引：11
作者：
Bueno, Ticianne P. [1 ]
Rocco, Norai R. [2 ]
机构：
[1] Univ Fed Goias, Dept Matemat, BR-74001970 Goiania, Go, Brazil
[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
JOURNAL OF GROUP THEORY | 2011年 / 14卷 / 05期
关键词：
NON-ABELIAN TENSOR; SOLVABLE-GROUPS; PRODUCTS;
D O I：
10.1515/JGT.2010.084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the non-abelian tensor square modulo q of a group, where q is a non-negative integer, via an operator v(q) in the class of groups. Structural properties and finiteness conditions of v(q)(G) are investigated. We compute the non-abelian tensor square modulo q of cyclic groups and develop a theory for computing v(q)(G) and some of its relevant sections for polycyclic groups G. This extends the existing theory from the case q = 0 to all non-negative integers q. Additionally, a table of examples is produced with the help of the GAP system.
引用
收藏
页码：785 / 805
页数：21
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