Geodesic
Integral lattices associated with a~finite affine group
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 431-443

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This paper deals with positive definite integral lattices of dimension $\operatorname{Card}(V)-1$ associated with a finite affine group $V\cdot\operatorname{GL}(V)$ (and some of its subgroups). The invariant sublattices are described to within similarity. Duality in the class of invariant lattices is studied. The unimodular lattices are distinguished. 
@article{SM_1995_83_2_a8,
     author = {K. S. Abdukhalikov},
     title = {Integral lattices associated with a~finite affine group},
     journal = {Sbornik. Mathematics},
     pages = {431--443},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_83_2_a8/}
}
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K. S. Abdukhalikov. Integral lattices associated with a~finite affine group. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 431-443. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a8/