ISOMORPHISM PROBLEM ASSOCIATED WITH GROUP OVER RING
This paper deals about isomorphism problem associated with group over ring. The main challenge is gaining extensive understanding of the constituents of the form φ (h), h ε H. Since │H│ = n, we have hn = 1 for all h ε H, and since is a morphism, we can conclude that φ (h)n = 1. In ZG, this provides the solution that φ (h), h ε H, is always the finite order unit.
Keywords: Ring, Morphism, Isomorphism, Group.
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