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arXiv · 1912.06758

The $RO(C_4)$ integral homology of a point

Nick Georgakopoulos
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Abstract

We compute the $RO(C_4)$ integral homology of a point with complete information as a Green functor, and we show that it is generated, in a slightly generalized sense, by the Euler and orientation classes of the irreducible real $C_4$-representations. We have devised a computer program that automates these computations for groups $G=C_{p^n}$ and we have used it to verify our results for $G=C_4$ in a finite range.

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Nick Georgakopoulos. 2019-12-14. The $RO(C_4)$ integral homology of a point. https://arxiv.org/abs/1912.06758

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