Interestingly,
From http://en.wikipedia.org/wiki/Alternating_group#Examples_S4_and_A4
Concerning groups we have been working with, its just interesting that:
Concerning 1940s ciphering math
http://unapologetic.wordpress.com/2007/03/14/commutator-subgroups/
An interesting looking book dedicated to quaternions is
http://read.pudn.com/downloads147/ebook/636697/Visualizing%20Quaternions.pdf
And, finally its interesting to see what happens when one moves the coordinates around.
obviously, we can now do our rotation thing again:
And, then we get to the subgroup of 3 elements:
Generalizing,
From
concerning quaternion “applicability” in ciphering:
From
