Filtrations of 2-elementary forms and involutions of integral symmetric and skew-symmetric bilinear forms

In connection with the study of involutions of integral symmetric bilinear forms, for a finite quadratic (symmetric bilinear) 2-form there is defined on the annihilator of 2 a filtration of finite quadratic (symmetric bilinear) forms. The image of the group of automorphisms of the 2-form in the group of automorphisms of the filtration is determined, and an analogue of Witt's theorem is proved for these groups.
Bibliography: 15 titles.