(1) School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, E1 4NS London, England
Abstract:
We give two very different proofs of the following result. Let {Gγ:λɛΛ : λ ∈ Λ} be a family of finitary skew linear groups of the same characteristic p ≧ 0. Then the free product of the Gγ is isomorphic to some finitary skew linear group of characteristic p. This extends recent work of R. J. H. Minty on the skew linear case and of O. Puglisi on the finitary linear case.