# Symmetric cohomology of groups in low dimension - Mathematics > Group Theory

Abstract: We give an explicit characterization for group extensions that correspond toelements of the symmetric cohomology $HS^2G,A$. We also give conditions forthe map $HS^nG,A\to H^nG,A$ to be injective.

Author: Mihai D. Staic

Source: https://arxiv.org/