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Tuesday, July 27, 2010

Group Theory - Exercise

Just had the pleasure of watching an episode of Poirot. What we share with Poirot is the need to exercise our gray cells...

If $G$ is a finite group of order $n$, prove that $G$ is isomorphic to a subgroup
of the alternating group $A_{n+2}$'
From 'Groups and Symmetry (Springer UTM) by M. A. Armstrong'

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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)