Actions of groups of order 𝑝𝑞

Lazarov, Connor

doi:10.1090/S0002-9947-1972-0309131-5

Actions of groups of order $pq$
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Trans. Amer. Math. Soc. 173 (1972), 215-230 Request permission

Abstract:

We study the bordism group of stably complex $G$-manifolds in the case where $G$ is a metacyclic group of order $pq$ and $p$ and $q$ are distinct primes. This bordism group is a module over the complex bordism ring and we compute the projective dimension of this module. We develop some techniques necessary for the study of this module in case $G$ is a more general metacyclic group.

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Actions of metacyclic groups

Homology

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