By the subsection on p- groups, we can replace P with a subgroup of bounded index and bounded class, so without loss of generality P has bounded class c say. Since the action of G on G factors through P, it follows that [P ∩ G , cG] = 1, so P ∩ G ≤ Zc(G). Factoring ...
In this work, we demonstrate thatcscB+S. elongatuscan promote growth of all tested heterotrophic species in pairwise co-cultures without the addition of external carbohydrates. We identify non-programmed interactions between cyanobacteria and heterotrophic microbes, including phenomena that are shared acros...