My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum

LinkBack Thread Tools Display Modes
August 6th, 2012, 12:23 PM   #1
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 not-necessarily-congruence subgroup of G. In the literature C is sometimes called a "cartographic group").

Many thanks,

Jimeree is offline  

  My Math Forum > College Math Forum > Abstract Algebra

identifying, permutation, representation, subgroup

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
schematic representation of permutation in a set? zFADwww7 Applied Math 4 November 25th, 2013 06:32 PM
representation of permutation bvh Advanced Statistics 1 February 28th, 2013 07:47 AM
identifying a distribution tyro89 Advanced Statistics 1 January 20th, 2010 01:08 PM
Subgroup/Normal Subgroup/Automorphism Questions envision Abstract Algebra 3 October 4th, 2009 10:37 PM
Subgroup/Normal Subgroup/Factor Group Questions envision Abstract Algebra 1 October 4th, 2009 03:24 AM

Copyright © 2019 My Math Forum. All rights reserved.