Non-commutative spaces with transitive translation groups. II (Q1900109)

This paper continues the author's work in part I [ibid. 36, No. 2/3, 125- 137 (1990; Zbl 0716.51011)]. Again the group spaces \(F(G)\) are in the center of interest. The paper contains some little results and many examples. The most interesting result is that the group space \(F(G) /\sim\) is skewaffine iff \(G\) has a partition in subsets \(A_s\), \(s\in R\), where \(A_1= \{1\}\), with \(A_s^{-1}= A_t\) for suitable \(t\in R\) and all \(s\in R\), and \(A_r A_s= \bigcup_{t\in X_{r,s}} A_t\) where \(X_{r,s} \subseteq R\). The author announces a general theory of skewaffine and skewprojective spaces which will appear elsewhere.