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math.HO2011
Existence of a Unique group of finite order
Sumit Kumar Upadhyay, Shiv Datt Kumar
Let be a positive integer. Then cyclic group of order is the only group of order iff g.c.d. , where denotes the Euler-phi function. In this articl…
cs.CR2011
Public Key Protocol Based on Amalgamated Free Product
Sumit Kumar Upadhyay, Shiv Datt Kumar, Ramji Lal
In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group B and Thompson group T together with a nilpote…