| R.A. Wilson, Vector stabilizers and subgroups of Leech lattice groups. J. Algebra, 127(2):387--408, 1989. |
....of type 4 and 3. If 2 Theta and 2 Theta 1 then ( 1. Since ( 0 ) 1 as well, we conclude that (X) f 0 j 2 Theta 1 g is contained in the orthogonal complement V of h 0 ; i in . This complement V is 22 dimensional and it is well known (cf. [Wil89]) that G = McL acts on V irreducibly which implies that V is generated by the image of . The universal (abelian) natural representation of G(McL) is supported by a vector space U defined as follows (here G 4 is the set of elements of type 4 in G) U = hv ; 2 G 4 j v 1 v 2 v ....
R.A. Wilson, Vector stabilizers and subgroups of Leech lattice groups, J.
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R.A. Wilson, Vector stabilizers and subgroups of Leech lattice groups. J. Algebra, 127(2):387--408, 1989.
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