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{\bf Central units in blocks and the odd
$Z_{p}^{*}$-theorem}\\
\emph{Geoffrey R. Robinson,\\
Department of Mathematics,\\
University of Aberdeen}\\
(Submitted for publication)
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\noindent {\bf ABSTRACT:} We construct some units of order $p$ in
certain $p$-adic group rings of finite groups, which have
relevance to the odd analogue of Glauberman's $Z^{*}$-theorem.