Quotient Stable Uniform Groups

Abstract

In a subclass of rigid almost completely decomposable groups with global homocyclic regulator quotient a classification up to near-isomorphism, in terms of modified diagonal similarity, and a decomposition criterion is given. This subclass contains the local uniform groups, and generalizations of results of Dugas and Oxford are obtained, first to some global case and second to modified diagonal similarity instead of diagonal equivalence.

Key Words:

• Rigid almost completely decomposable groups
• Global uniform groups
• Quotient stable groups
• Classification
• Direct decomposition
• Equivalence of matrices
• Representing matrix

Acknowledgments