Projective discrete modules over profinite groups
Rings and Algebras
2019-07-30 v1 Category Theory
Group Theory
Representation Theory
Abstract
We show that the category of discrete modules over an infinite profinite group has no non-zero projective objects and does not satisfy Ab4*. We also prove the same types of results in a generalized setting using a ring with linear topology.
Keywords
Cite
@article{arxiv.1907.12496,
title = {Projective discrete modules over profinite groups},
author = {Alexandru Chirvasitu and Ryo Kanda},
journal= {arXiv preprint arXiv:1907.12496},
year = {2019}
}
Comments
10 pages + references