Sentence examples for generated group from inspiring English sources

Let (G) be a finitely generated group with a system of generators (A={a_1,ldotsdots,a_m}) (throughout the paper we consider only infinite finitely generated groups and only finite systems of generators).

Let (G) be a finitely generated group with no free subsemigroup on two generators and let the quotient (G/N) be an elementary amenable group.

A finitely generated group is one in which a finite number of elements within the group suffice to produce through their combinations every element in the group.

Let (G) be a finitely generated group.

Any infinite finitely generated group has just-infinite quotient.

Then the kernel (N) is a finitely generated group.

By Theorem 4.1 (N) is a finitely generated group.

This is the word metric for this generated group.

Let (G) be a finitely generated group, and (Sigma ^1(G) subset S(G)) as above.

Let (G) be a finitely generated group, (N) a normal subgroup, and (Z) a central subgroup.

Let (G) be a finitely generated group and (E) a finitely presented cover of (G).