Group theory 25: The transfer homomorphism

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This video is part of an online mathematics course on group theory. It describes the transfer homomorphism between groups, and uses it to classify groups of order 30 and to show that the order of any simple group must be divisible by the square of some prime.
  1. Richard E Borcherds
  2. Transfer homomorphism
  3. group theory
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Комментарии
Автор

This is ... amazing! I've only seen the transfer map while reading class field theory but never knew it could be used in this way.

mathstrek
Автор

Great explanation. Would have been great to have burnsides complement lemma as well...

joeseppe
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8:10 line 4 and line 5, so ai1 are in G and h1 in H in G, so if we absorb all h into a, then all h=1, then t(g)=1, then what is the whole point ?
Is this the showing to HOW TO find a specific definition of t(g) ?

xcl