Author:
Igor Bayak
affiliation: no

Title:
"On the relation of the monomial group to
other algebraic structures"
Appendix:
"Physical symmetries and Euclidean geometry".

Abstract
In this paper, we show how monomial group $S_{2}\wr S_{n}$
is related to the Abelian group $Z^{n}$ and the general linear
group $GL_{n}(R)$. It is shown that any subgroup
of the Abelian group $Z^{n}$ gives rise to a subgroup
of the monomial group $S_{2}\wr S_{n}$, which in
turn gives rise to a corresponding subgroup of
$GL_{n}(R)$. It is shown that any Clifford algebra
can be generated by the cyclic monomial permutations.

Status:
preprint