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

页码：353 / 364

页数：11

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