How To Use Abelian group In A Sentence

Gauss in 1801 was to take Euler's work much further and gives a considerable amount of work on modular arithmetic which amounts to a fair amount of theory of abelian groups.

All Hirsch's publications were in group theory, in addition to the work on polycyclic groups he published on locally nilpotent groups and automorphism groups of torsion free abelian groups.

Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.

In this paper the authors define a dual graph of a finite group and classify the finite nonabelian groups with dual graphs without triangles.

In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups.

In 1925 he proved the KrullSchmidt theorem for decomposing abelian groups of operators.

In his talk Steinitz introduced an algebra over the ring of integers whose base elements are isomorphism classes of finite abelian groups.

Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.

In 1925 he proved the KrullSchmidt theorem for decomposing abelian groups of operators.

He does provide an example of the decomposition of an abelian group into cosets of a subgroup.

After further papers on subgroups of infinite abelian groups and normal numbers he wrote a series of eight papers on Arithmetic on curves of genus 1.