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August 6th, 2012, 12:23 PM  #1 
Newbie Joined: Aug 2012 Posts: 1 Thanks: 0  Identifying a Subgroup via a Permutation Representation
Dear Forum, Suppose we have a known group G and an unknown subgroup H. The permutation representation of G on the cosets of H gives a permutation group C, which is known. Is it possible to identify the generators of H using this information? If so, how? If not, what further information is needed? (For background, my G is the modular group PSL(2,Z); H is a notnecessarilycongruence subgroup of G. In the literature C is sometimes called a "cartographic group"). Many thanks, James 

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identifying, permutation, representation, subgroup 
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