Aut ( Q8 ) = S4

The automorphism group of the quaternion group is the symmetric group on four letters. Sounds fascinating to me. But once I figured it out it's rather easy.

The elements of Q8 are:
1:1, 2:-1, 3:i, 4:j, 5:k, 6:-i, 7:-j, 8:-k.
The generators are:
3:i, 4:j.

Then there are 24 isomorphisms, since there are 6 possible generators i, j, k, -i, -j, and -k but after 1 has been chosen, 4 remain ( choose i then -i can't be chosen anymore ).

So up to here I have shown that Aut(Q8)=24, not yet that it is isomorphic to S4. ( That's for later. )

To confront or to hide

We either confront our problems or try to hide from them. A first reaction of most people is that confronting is always the best apporach. I however don't think that is true especially when there is a magnitude of issues to confront. In that respect the saying First Things First comes into focus.

Alex Jones has a new movie out.

The Obama Deception. I don't like the USA but I like the people. It seems they elected the wrong guy. He managed to break his promises with unprecedented speed. Behind the mask there is yet another mask. What we see is a puppet on strings.

How many seats ?

Actual Seating capacity clearly depends on the size of the passengers.

I am not in love

15

OnePlusYou Quizzes and Widgets

Demonoid is back.

Demonoid is back.

Monthly Anonymous protests...

Something is wrong about these protests. The protesters are mostly students. Why do they care about a marginal cult like Scientology? Ok, it is a serious matter but isn't there anything else to protest about? Where do these masks come from? The same masks appear from Tokio to Los Angeles and every city with an org in between. Could it be an organized, well-funded operation? The following video presents a theory..., nothing more, nothing less.

Jennifer Connelly

1,1 billion people don't have access to clean drinking water.

1,1 BILLION?

Yes: 1,100,000,000 people.

Gertjan Verbeek new coach Feyenoord

From heaven ( Heerenveen ) to hell ( Feyenoord )...? I hope not.

Stonehenge (3)

Stonehenge is one of the most famous prehistoric sites in the world. Day 5 of the 2008 digg: identification of a UFO!

Modern technology makes it possible that everyone with access to internet can virtually be at the digg. Imagine that internet would have been available when the King Tut's grave was opened in Egypt. By the way, the current Stonehenge digg is the first digg at Stonehenge with the use of state-of-the-art technology. The latest theory about the purpose of Stonehenge is that it was a place of healing, pilgrimage perhaps. Like Louvres today. ( Or even a hospital? )