Typo in definition of Group Homology and Cohomology, Page 109

[kvagadia21]

The lemmas leading up to the definition are correct, but the precise definition switches the functors $\textrm{--}^G$ and $\textrm{--}_G$. The correct definition should be:

$$H_{n}(G,A) = L_{n}(\textrm{--}_{G})(A) \cong Tor_{n}^{{\mathbb{Z}G}}(\mathbb{Z},A)$$

and similarly for cohomology.

[kvagadia21]

This issue is still there in the 1st December 2025 color version, Page 107