\documentclass[a4paper, 11pt]{article} \usepackage{amsmath,amsthm,amsfonts,amssymb} \setlength{\parskip}{7pt} \usepackage{ifthen} \textwidth 6.5 in \oddsidemargin -0.1 in \evensidemargin -0.1 in \newcommand{\F}{{\mathcal{F}}} \newcommand{\B}{{\mathcal{B}}} \begin{document} \centerline{Data for the paper ``Hyperbolic modules and cyclic subgroups''.} \bigskip \bigskip Author: \centerline{Maria Loukaki } \centerline{Dept. of Applied Mathematics, University of Crete,} \centerline{ Knosou Av. GR-71409, Heraklion-Crete, Greece} \bigskip Abstract: Let $G$ be a finite group of odd order, $\F$ a finite field of odd characteristic $p$ and $\B$ a symplectic $\F G$-module. We show that $\B$ is $\F G$-hyperbolic, i.e., it contains a self--perpendicular $\F G$-submodule, iff it is $\F N$-hyperbolic for every cyclic subgroup $N$ of $G$. \bigskip Current Status: Preprint \end{document}