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arXiv 2017-07-19 0 views

Simple right conjugacy closed loops

Greer, Mark

Original · EN

We give a general construction for right conjugacy closed loops, using GL(2,q) for q a prime power. Under certain conditions, the loops constructed are simple, giving the first general construction for finite, simple right conjugacy closed loops. We give a complete description of the isomorphism classes for the construction, yielding an exact count of non isomorphic loops for each q.

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