Let $G$ be a finite group. We define a Lefschets module $L(G, \Pi)$ which consists of equivalent classes of all $\Pi$-maps and prove that it is isomorphic to the Burnside module $\Omega(G, \Pi)$.
"On the Lefschetz module." Hokkaido Math. J. 36 (1) 111 - 120, February 2007. https://doi.org/10.14492/hokmj/1285766653