Finite valuated groups as modules over their endomorphism ring
DOI:
https://doi.org/10.24193/subbmath.2017.3.03Keywords:
Valuated p-group, endomorphism ring, Ulmer’s theorem, projective module.Abstract
This paper discusses the structure of a finite valuated p-group when viewed as a module over its endomorphism ring. A category equivalence between full subcategories of the category of valuated p-groups and the category of right modules over the endomorphism ring of A is used to investigate the interaction between this module structure and homological properties of the underlying group. Examples are given throughout the paper.
Mathematics Subject Classification (2010): 20K30, 20K40, 20K10.
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