On finite Abelian groups with nonsingular quadratic form
type: Item
instance of: scholarly article
title: On finite Abelian groups with nonsingular quadratic form
zbMATH Open document ID: 1031.20044
author: A. A. Sal'nikov
author: O. A. Logachev
author: V. V. Yashchenko
published in: Moscow University Mathematics Bulletin
publication date: 2003-09-04T00:00:00Z
review text: In the paper necessary and sufficient conditions are established for a bilinear symmetric form to be an inner product on a finite Abelian group. The authors determine a one-to-one correspondence between a factor set of ``quadratic functions with respect to affine functions'' on the group and some set of symmetric bilinear forms.
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 15A63
zbMATH DE Number: 1974895
zbMATH Keywords: finite Abelian groups
zbMATH Keywords: nondegenerate quadratic forms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1974895