Z_3 semidirect product Z_4 error
Closed this issue · 3 comments
The presentation for Z_3 semidirect product Z_4 on the webpage
https://nathancarter.github.io/group-explorer/GroupExplorer.html
is not consistent with the multiplication table for that group found at
In particular, the relations a^4 = b^3 = e, bab=a should probably be a^4=3, b^3=a^2, bab=a.
Typo correction: a^4 = e.
This page also has the same error in the group presentation:
You're absolutely right -- good catch!
The relation is read from a data file and just displayed, not used in any computations, so it's an easy fix. It's been wrong pretty much since day 1.
You might be interested, there is a GE3 routine in development that determines a (roughly) minimal set of relations, and for this group it calculates
a⁴ = 1, a²b³= 1, bab = a
very much as you suggested. Guess I'm going to have to check the rest of the groups more closely now :-)
Thanks again for your help, feel free to bring up any other issues you find. I'm going to close this one.