On the nonabelian tensor square of a 2-Engel group

被引：0
|
作者：
Bacon M.R. [1 ]
Kappe L.-C. [2 ]
Morse R.F. [3 ]
机构：
[1] Department of Mathematics, Univ. of Wisconsin at Platteville, Platteville
[2] Department of Mathematical Sciences, Stt. Univ. of New York at Binghamton, Binghamton
[3] Dept. of Math. and Computer Science, Eastern Nazarene College, Quincy
来源：
Archiv der Mathematik | 1997年 / 69卷 / 5期
关键词：
Computer Program; Nilpotent Group; Symbolic Computation; Extensive Calculation; Expansion Formula;
D O I：
10.1007/s000130050133
中图分类号：
学科分类号：
摘要：
In this paper we determine the nonabelian tensor square of the free 2-Engel group of rank 3 and of the Burnside group on 3 generators of exponent 3. Both tensor squares are nilpotent groups of class 2. The calculatory method used is based on the concept of a crossed pairing. Some of the expansion formulas and verifications occuring in this context require extensive calculations. A computer program written in the GAP language assisted in completing these symbolic computations.
引用
收藏
页码：353 / 364
页数：11
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