Hokkaido Mathematical Journal

FUJITA Ryousuke,

On the Lefschetz module.

Hokkaido Mathematical Journal, 36 (2007) pp.111-120

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Abstract

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 $\Omega(G, \Pi)$.

MSC(Primary)57S17
MSC(Secondary)57S25
Uncontrolled Keywords$G$-complex, $G$-map, $G$-poset, Lefschets module.