Usamot, I. F.Rauf, K.Bakare, G. N.Ibrahim, G. R.2023-05-212023-05-212019Usamot, I. F., Rauf K., Bakare G. N. & Ibrahim G. R. (2019)2705 - 1900https://uilspace.unilorin.edu.ng/handle/20.500.12484/10607This paper provides some characterizations of signed symmetric group (SSn) using the notion of orthogonality in inner product spaces. The concepts of ortho-stochastic and reflection were introduced on SSn and results were established with some examples.enSigned symmetric group, Ortho-stochastic, Trace, Contraction, Orthogonal, Orthonormal, ReflectionArticle