Abstract
We prove two theorems linking the cohomology of a pro-p group G with the conjugacy classes of its finite subgroups. The number of conjugacy classes of elementary abelian p-subgroups of G is finite if and only if the ring H*(G, Z/p) is finitely generated modulo nilpotent elements. If the ring H*(G,Z/p) is finitely generated, then the number of conjugacy classes of finite subgroups of G is finite.
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