Abstract.
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.
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Received: 10.7.1996
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R. Bacon, M., Kappe, LC. & Fitzgerald Morse, R. On the nonabelian tensor square of a 2-Engel group. Arch. Math. 69, 353–364 (1997). https://doi.org/10.1007/s000130050133
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DOI: https://doi.org/10.1007/s000130050133