A description of the second mod p cohomology group of a p-group Original Research Article

We show that any finite mixed Lie algebra in the sense of Lazard, of characteristic p and length 3, is the associated graded of some finite p-filtered group. This amounts to calculating the second mod p cohomology group of a p-group of p-class 2 in terms of the mixed Lie algebra associated to its Frattini filtration.