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  (2m; 2). This

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by Gabriele Nebe, E. M. Rains, N. J. A. Sloane
http://www-math.math.rwth-aachen.de/~LBFM/gabi/papers/clifford.ps
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Abstract:

The automorphism group of the Barnes-Wall lattice Lm in dimension 2 m (m 6 = 3) is a subgroup of index 2 in a certain \Cliord group " of structure 2

Citations

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