On the degenerate pin groups

Abstract

We define a double covering map for any causal structure between a degenerate pin group and a degenerate orthogonal group which are given as semi-direct products. We also show that, both of them are decomposed into four disjoint sets consisting of connected components. Then, we investigate the relation between components of a semi-orthogonal pin group and a semi-orthogonal group and components obtained from the degenerate pin group and the degenerate orthogonal group.