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arXiv · 1802.02676

Normal elements of completed group algebras over ${\rm SL}_3(\mathbb{Z}_p) $

Dong Han·Feng Wei
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Abstract

Let $p$ be a prime integer and $\mathbb{Z}_p$ be the ring of $p$-adic integers. By a purely computational approach we prove that each nonzero normal element of a completed group algebra over the special linear group ${\rm SL}_3(\mathbb{Z}_p)$ 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.

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Dong Han, Feng Wei. 2018-02-08. Normal elements of completed group algebras over ${\rm SL}_3(\mathbb{Z}_p) $. https://doi.org/10.1515/forum-2018-0034

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