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Corpus ID: 119177533

Cohomology Developed Matrices - constructing weighing matrices from their automorphisms

@article{Goldberger2019CohomologyDM,
title={Cohomology Developed Matrices - constructing weighing matrices from their automorphisms},
author={Assaf Goldberger},
journal={arXiv: Group Theory},
year={2019}
}

The aim of this work is to construct families of weighing matrices via automorphisms and cohomology. We study some well known families such as Payley's conference and Hadamard matrices and Projective Space weighing matrices, and put them in the context of a general theory. As a consequence, we get the new family of Grassmannian weighing matrices. Our theory generalizes the theory of Cocyclic matrices.