A note on the invariance in the nonabelian tensor product

Abstract

In the nonabelian tensor product $G\otimes H$ of two groups $G$ and $H$ many properties pass from $G$ and $H$ to $G\otimes H$. There is a wide literature for different properties involved in this passage. We look at weak conditions for which such a passage may happen.Comment: 4 pages ; to appear in Bull. Korean Math. Soc. jointly with D.E.Otera and C.Tanasi, who added further results of topological natur