no. 1
The word problem in polycyclic groups is elementary
Compositio Mathematica, Tome 27 (1973) no. 1, pp. 39-45. 
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     number = {1},
     year = {1973},
     mrnumber = {347990},
     zbl = {0279.20028},
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     url = {http://archive.numdam.org/item/CM_1973__27_1_39_0/}
}
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Cannonito, F. B.; Gatterdam, R. W. The word problem in polycyclic groups is elementary. Compositio Mathematica, Tome 27 (1973) no. 1, pp. 39-45. http://archive.numdam.org/item/CM_1973__27_1_39_0/

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