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Let $G$ be an arbitrary group. Let $\Z(G)$, $\Z_2(G)$, $\gamma_2(G)$ denote the center, the second center and the commutator subgroup of $G$. In this short note we prove that if $\gamma_2(G)$ is fini...
The most widely known result of Chevalley–Warning type states that if one has a polynomial over a finite field of characteristic p, and the number of variables exceeds the degree, then the number of z...