Gerard Thompson

Classifying Quadratic Forms Over ℤ2 in Five Variables

Amrita Acharyya & Gerard Thompson · Journal of Advances in Mathematics and Computer Science · 2019

Quadratic forms in ve variables over the field Z2 are classified by extending results previously obtained for four variables. It is shown that only one new form genuinely involving ve variables appears.

Open access Research Article 10.9734/jamcs/2019/v31i130103

Classifying Quadratic Forms Over Z2 in Four Variables

Amrita Acharyya & Gerard Thompson · Journal of Advances in Mathematics and Computer Science · 2018

Quadratic forms in four variables over the field 2 are sorted first of all with respect to permutation symmetry. Thereafter it is shown that any such form is equivalent to one of seven such canonical forms. The orthogonal group of each one of these seven forms is obtained. The pa...

Open access Research Article 10.9734/JAMCS/2018/42882