Geodesic
On Free Groups of the Variety AN 2 ∧ N 2 A
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 443-446

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Let R be a commutative ring with unity and let M(R) be the multiplicative group of 4 x 4 triangular matrices (a ij ) over R, where a 11 is a unit element of R and a ii = 1 for i = 2, 3, 4. If V(=AN 2 ∧ N 2 A) denotes the variety of groups which are both abelian-by-class-2 and class-2-by-abelian, then it is routine to verify that M(R) ∊ V. Here we prove the following,Theorem. Let F(V) denote the free group of finite or countable infinite rank of the variety V. Then for a suitable choice of R, F(V) is embedded in M(R). 
Gupta, Chander Kanta. On Free Groups of the Variety AN 2 ∧ N 2 A. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 443-446. doi: 10.4153/CMB-1970-082-7
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     author = {Gupta, Chander Kanta},
     title = {On {Free} {Groups} of the {Variety} {AN} 2 \ensuremath{\wedge} {N} 2 {A}},
     journal = {Canadian mathematical bulletin},
     pages = {443--446},
     year = {1970},
     volume = {13},
     number = {4},
     doi = {10.4153/CMB-1970-082-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-082-7/}
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