%0 Journal Article
%T On the Representations of ¦£1-Nonderanged Permutation Group g<sub>p</sub>
%A Ibrahim A. Aminu
%A Ejima Ojonugwa
%A Kazeem O. Aremu
%J Advances in Pure Mathematics
%P 608-614
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.69049
%X Representation theory is concerned with the ways of explaining or visualizing a group as a group of matrices. In this paper, we extend the permutation pattern of <img src=\"Edit_f867edde-aeba-4a2f-9c21-ac59fcb88e2a.bmp\" alt=\"\" /> to a two-line notation. We consider the representations of this <img src=\"Edit_0686ed1d-8b4c-453e-b5b9-9b3d4580356a.bmp\" alt=\"\" /> non-deranged permutation group<img src=\"Edit_fe3ce09d-e996-4731-bbe7-d60a82f24399.bmp\" alt=\"\" />(p ¡Ý 5 and p a prime). Also we reveal some interesting properties and results of the character <img src=\"Edit_88a952fa-5b05-41bb-b85a-74c2bdb05ebc.bmp\" alt=\"\" /> of <img src=\"Edit_fe3ce09d-e996-4731-bbe7-d60a82f24399.bmp\" alt=\"\" style=\"white-space:normal;\" /> where <img src=\"Edit_d0fd7872-31c6-4765-879a-5de1be8d0652.bmp\" alt=\"\" />.
%K Representation
%K Non-Deranged
%K Permutation Group
%K ¦£&lt
%K sub&gt
%K 1&lt
%K /sub&gt
%K -Permutation Group
%K Fg&lt
%K sub&gt
%K p&lt
%K /sub&gt
%K -Module
%K Character
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=69797