Geodesic
Two-generator two-groupsof class two and their nonabelian tensor squares
Glasgow mathematical journal, Tome 41 (1999) no. 3, pp. 417-430

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Thenonabelian tensor square G[otimes] G of a group G is generated by the symbolsg[otimes] h, g,h ∈ G, subject to the relations$$gg\prime\otimesh=(^gg\prime\otimes^gh)(g\otimesh) andg\otimeshh\prime-(g\otimesh)(^hg\otimes^hh\prime),$$ for all $g,g\prime,h,h\prime\in G< / f>, where $^gg\prime=gg\primeg^{−1}$. The nonabelian tensor squareis a special case of the nonabelian tensor product which has its origins inhomotopy theory. It was introduced by R. Brown and J.-L. Loday in [4]and [5], extending ideas of J.H.C. Whitehead in [10]. The topicof this paper is the classification of 2-generator 2-groups of class two up toisomorphism and the determination of nonabelian tensor squares for thesegroups. 
Kappe, Luise-Charlotte; Visscher, Matthew P.; Sarmin, Nor Haniza. Two-generator two-groupsof class two and their nonabelian tensor squares. Glasgow mathematical journal, Tome 41 (1999) no. 3, pp. 417-430. doi: 10.1017/S0017089599000014
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     title = {Two-generator two-groupsof class two and their nonabelian tensor squares},
     journal = {Glasgow mathematical journal},
     pages = {417--430},
     year = {1999},
     volume = {41},
     number = {3},
     doi = {10.1017/S0017089599000014},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089599000014/}
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