On signed generators of groups and algebras
Rings and Algebras
2017-05-29 v1 Operator Algebras
Abstract
Operators acting on the discrete random chaos yield signed multiplicative systems, extending the notion of spin matrices and quaternions. We investigate signed groups through the associated sign matrices, focusing on generators and their replacements. Of particular interest are anticommutative generators leading to a complete classification of the generated groups. The classification of finite groups of mixed commutativity is also obtained.
Keywords
Cite
@article{arxiv.1705.09398,
title = {On signed generators of groups and algebras},
author = {Jerzy Szulga},
journal= {arXiv preprint arXiv:1705.09398},
year = {2017}
}