eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2010 22 1 291 294 jusps-A 1056 article Some metrical problems on symmetric groups with Rosenbloom-Tsfasman metric W. B. VASANTHA (vasantha@iitm.ac.in) 1 R.RAJKUMAR (rajkumar.iitm@gmail.com) 2 Department of Mathematics, Indian Institute of Technology, Chennai - 600 036 (INDIA) Department of Mathematics, SSN College of Engineering, Chennai- 603110 (INDIA) <p style="text-align: justify;">In this paper we study the properties of Rosenbloom-Tsfasman metric on the symmetric groups. The invariance properties of this metric on permutation groups are described. The volume of the spheres and balls in this metric space are discussed.<br /> &nbsp;</p> https://www.ultrascientist.org/paper/1056/ Rosenbloom-Tsfasman metric symmetric groups.