Phill Schultz

activity

20172023

most citedOn varieties of groups generated by wreath products of abelian groups

15 citations · 15 across the 3 of their papers we have counts for

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math.GR2023

Abelian $p$ --groups and their endomorphism rings

Phill Schultz

The lattice of fully invariant subgroups of an abelian $p$ --group and the lattice of ideals of its endomorphism ring are classified by systems of cardinal invariants.

math.GR2018★ 15 cited

On varieties of groups generated by wreath products of abelian groups

Vahagn H. Mikaelian

Generalizing results of Higman and Houghton on varieties generated by wreath products of finite cycles, we prove that the (direct or cartesian) wreath product of arbitrary abelian…

math.GR2017

Completely decomposable direct summands of torsion--free abelian groups of finite rank

Adolf Mader, Phill Schultz

Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A = B \oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand…

Abelian p--groups and their endomorphism rings

On varieties of groups generated by wreath products of abelian groups

Completely decomposable direct summands of torsion--free abelian groups of finite rank

Abelian $p$ --groups and their endomorphism rings