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Questions on the group-theoretic functionality of Mathematica.

1 vote
1 answer
99 views

The central product and the permutation representation of the Pauli group of order 16

I am interested in obtaining a permutation representation of the Pauli Group $G_1 = \langle X, Y, Z \rangle$. I think this would be easy enough as a "Regular representation" but then I learn that the …
Phillip Dukes's user avatar
3 votes
1 answer
53 views

By what criteria does Mathematica generate the list of group elements in `GroupElements[grou...

I ask because aside from always giving the identity element first, I have found a "pattern" associated with the list given by GroupElements[group]. This "pattern" is not preserved if I use Sort[GroupE …
Phillip Dukes's user avatar