\titleofpresentation{Modules of uniform Jordan type}

\presenter{Semra \"Ozt\"urk Kaptano\u glu}



Let $G$ be an abelian $p$-group,  $M$ be a finitely generated $k[G]$-module, where $k$ is a field of characteristic $p>0$. 
We say $M$ is of uniform Jordan type
if the restriction of $M$ to the subalgebra $k[\langle1+x\rangle]$ has
the same Jordan type as the restriction of $M$ to the subalgebra
$k[C_{p^r}]$ for some cyclic subgroup $C_{p^r}$ of $G$ for all $x$ in
the Jacobson radical of $k[G]$ with $\langle1+x\rangle\cong C_{p^r}$.
 
We prove that the class of modules of uniform Jordan type contains
endotrivial modules and it is closed under taking direct sums and
tensor products. 
 

\begin{ourbiblio}{9}
\bibitem{kaptanoglu}
Modules of constant Jordan type,
J. Carlson, E. Friedlander, J. Pevtsova, Preprint
\end{ourbiblio}

\presenteraddress{Orta Do\u gu Teknik \"Universitesi, Ankara, Turkey}

\email{sozkap@metu.edu.tr}

\web{www.math.metu.edu.tr/~semra/}
