On the relation of the monomial group with other algebraic structures

الأصل · EN

It is shown in what way monomial group connects Abelian group Zⁿ and total linear group GL(n). It is shown that any subgroup of Abelian group Zⁿ induces subgroup of monomial group S₂ Sₙ, which in its turn induces corresponding subgroup of GLₙ(R).