Matrices that are self-congruent only via matrices of determinant one

Tatyana G. Gerasimova, Roger A. Horn, Vladimir V. Sergeichuk

Docovic and Szechtman, [Proc. Amer. Math. Soc. 133 (2005) 2853-2863] considered a vector space V endowed with a bilinear form. They proved that all isometries of V over a field F o…