Usamot I. F., Rauf K. Bakare G. N., Ibrahim, G. R.,2026-05-052026-05-052019-08-03Usamot I. F., Rauf K., Bakare, G. N. & Ibrahim G. R. (2019): Characterization of Signed Symmetric Group in Inner Product Spaces. Adamawa State University, Journal of Scientific Research. 7(2) ISSN: 2705 –1900; 117–121. Published by Adamawa State UniversityP-ISSN: 2251-0702 E-ISSN: 2705-1900https://uilspace.unilorin.edu.ng/handle/123456789/17982Usamot I. F., Rauf K., Bakare, G. N. & Ibrahim G. R. (2019): Characterization of Signed Symmetric Group in Inner Product Spaces. Adamawa State University, Journal of Scientific Research. 7(2) ISSN: 2705 –1900; 117–121. Published by Adamawa State UniversityThis 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 groupOrtho-stochasticTraceContractionOrthogonalOrthonormalReflectionArticle