Normal elements of completed group algebras over ${\rm SL}_3(\mathbb{Z}_p) $
Number Theory
2018-08-21 v1 Group Theory
Rings and Algebras
Abstract
Let be a prime integer and be the ring of -adic integers. By a purely computational approach we prove that each nonzero normal element of a completed group algebra over the special linear group is a unit. This give a positive answer to an open question in \cite{WeiBian2} and make up for an earlier mistake in \cite{WeiBian1} simultaneously.
Keywords
Cite
@article{arxiv.1802.02676,
title = {Normal elements of completed group algebras over ${\rm SL}_3(\mathbb{Z}_p) $},
author = {Dong Han and Feng Wei},
journal= {arXiv preprint arXiv:1802.02676},
year = {2018}
}