(Download) "On the Crypto-Automorphism of the Buchsteiner Loops (Report)" by J.O. Oyebo, Y.T. Adeniran # eBook PDF Kindle ePub Free
eBook details
- Title: On the Crypto-Automorphism of the Buchsteiner Loops (Report)
- Author : J.O. Oyebo, Y.T. Adeniran
- Release Date : January 01, 2010
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 67 KB
Description
[section] 1. Introduction A binary system (Q, x) is called a loop if a x 1 = a = 1 x a, [for all]a [member of] Q, and if the equations ax = b and ya = b have respectively unique solutions x = a\b and y = b/a, [for all]a, b [member of] Q. The mappings [R.sub.x] and [L.sub.x] for each x [member of] Q, called respectively the right and left translation mappings, are defined as yx = y[R.sub.x] and xy = y[L.sub.x], [for all]y [member of] Q, they are one-to-one mapping of Q onto Q. It is important to know that the group generated by all these mappings are called multiplication group MlpQ, readers should please see [1,10].