On the relation of the monomial group with other algebraic structures

Mathematics – Group Theory

Scientific paper

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6 pages

Scientific paper

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).

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