Algebra

   

Smallest Symmetric Supergroups Of the Abstract Groups Up to Order 37

Authors: Richard J. Mathar

Each finite group is a subgroup of some symmetric group, known as the Cayley theorem. We find the symmetric group of smallest order which hosts the finite groups in that sense for most groups of order less than 37. For each of these small groups this is made concrete by providing a permutation group with a minimum number of moved elements in terms of a list of generators of the permutation group in reduced cycle notation.

Comments: 18 Pages.

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[v1] 2015-04-03 18:57:03

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