Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.1 MATHEMATICS

Publication Details

Journal of Group Theory

Abstract

We introduce two new notions of transitivity for Abelian 𝑝-groups based on isomorphism of quotients rather than the classical use of equality of height sequences associated with Abelian 𝑝-group theory. Unlike the classical theory where β€œmost” groups are transitive, these new notions lead to much smaller classes, but even these classes are sufficiently large to be interesting.

DOI

https://doi.org/10.1515/jgth-2019-0124

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