Abstract

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.

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