perfect bilinear form

Let A, B, and C be abelian groupsMathworldPlanetmath. A bilinear formPlanetmathPlanetmath


is said to be if the associated group homomorphismsMathworldPlanetmath

A Hom(B,C)
a φ(a,)


B Hom(A,C)
b φ(,b)

are injective.

In particular, if C is finite then the finiteness of either A or B implies the finiteness of the other.

Title perfect bilinear form
Canonical name PerfectBilinearForm
Date of creation 2013-03-22 15:35:04
Last modified on 2013-03-22 15:35:04
Owner matsuura (2984)
Last modified by matsuura (2984)
Numerical id 5
Author matsuura (2984)
Entry type Definition
Classification msc 15A63
Classification msc 11E39