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On R. Chapman's "evil determinant": case p=1 (mod 4)
Maxim Vsemirnov
For p=1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the matrix C with C(i,j)=LegendreSymbol(j-i,p), i,j=0,...,(p-1)/2.
math.GR2011
Uniform (2,k)-generation of the 4-dimensional classical groups
M. A. Pellegrini, M. C. Tamburini Bellani, M. A. Vsemirnov
In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of an arbitrary element of S…