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Tuesday, December 1, 2009

Watched lecture 18 of Abstract Algebra E-222

Topics.
- Group actions.
- Counting formula.
- Conjugation action.
- Conjugacy classes.
- Class equation.
- Symmetry group of the Tetrahedron (A4),Icosahedron (A5).
- Nice proof of the fact that a group of order p^n always has a non-trivial centre.
- At the time this video was recorded mathematicians conjectured that shape of the universe was SO(3)/A5.
( For me not a particularly simple lecture, but am still following. )

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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.)