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H q ( Z / p Z ⊕ Z / p Z ; M ) = { ( M / p M ) ( q + 3 ) / 2 ⊕ ( Ann M ( p ) ) ( q − 1 ) / 2 , q = 1 , 3 , 5 , … ( M / p M ) q / 2 ⊕ ( Ann M ( p ) ) ( q + 2 ) / 2 , q = 2 , 4 , 6 , … M , q = 0 {\displaystyle H_{q}(\mathbb {Z} /p\mathbb {Z} \oplus \mathbb {Z} /p\mathbb {Z} ;M)=\left\lbrace {\begin{array}{rl}(M/pM)^{(q+3)/2}\oplus (\operatorname {Ann} _{M}(p))^{(q-1)/2},&\qquad q=1,3,5,\dots \\(M/pM)^{q/2}\oplus (\operatorname {Ann} _{M}(p))^{(q+2)/2},&\qquad q=2,4,6,\dots \\M,&\qquad q=0\\\end{array}}\right.}