English

On the relation of the monomial group with other algebraic structures

Group Theory 2007-05-23 v1

Abstract

It is shown in what way monomial group connects Abelian group Z^{n} and total linear group GL(n). It is shown that any subgroup of Abelian group Z^{n} induces subgroup of monomial group S_{2}\wr S_n}, which in its turn induces corresponding subgroup of GL_{n}(R).

Keywords

Cite

@article{arxiv.math/0010317,
  title  = {On the relation of the monomial group with other algebraic structures},
  author = {Igor Bayak},
  journal= {arXiv preprint arXiv:math/0010317},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T16:35:32.085Z