The groups of two by two matrices in double and dual numbers, and associated M\"obius transformations
Group Theory
2018-09-25 v3 Rings and Algebras
Abstract
M\"obius transformations have been studied over the field of complex numbers. In this paper, we investigate M\"obius transformations over two rings which are not fields: the ring of double numbers and the ring of dual numbers. We give types of continuous one-parameter subgroups of and
Keywords
Cite
@article{arxiv.1707.01349,
title = {The groups of two by two matrices in double and dual numbers, and associated M\"obius transformations},
author = {Khawlah A. Mustafa},
journal= {arXiv preprint arXiv:1707.01349},
year = {2018}
}