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@inproceedings{Smillie1987AGF, title={A Generating Function for the Euler Characteristic of Outof}, author={John Smillie and Karen Vogtmann}, year={1987} }

- Published 1987

Let A be a group satisfying suitable homological finiteness conditions, and A' C A any torsion-free subgroup of finite index. Then the rational Euler characteristic %(A) of A is defined as x(A')/[A : A ' ] 9 where #(/4') is the usual alternating sum of the ranks of the homology groups H^A'.J.) (cf. [10]). The rational Euler characteristic has good multiplicative properties which often make it easier to compute and more appropriate for groups with torsion than the usual Euler characteristic, In… CONTINUE READING

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