find a complete list of right coset representatives for a subgroup of a permutation group or a group given by generators and relations
subgroup of a group given by generators and relations
permutation groups of same degree
Important: The group package has been deprecated. Use the superseding command GroupTheory[RightCosets] instead.
For groups given by generators and relations, the argument sbgrl should be a subgrel. A set of words in the generators of the group is returned.
For permutation groups, both arguments should be permgroups and sg should be a subgroup of pg. A set of permutations in disjoint cycle notation is returned.
The command with(group,cosets) allows the use of the abbreviated form of this command.
The cosets function can be used to produce all of the elements of a group by finding the cosets of the identity element of the group:
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