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Next: A Strategy. Up: Approximating the fusion map. Previous: Sylow's Theorem.

Normalizers.

If two subgroups are conjugate in G, then so are their normalizers in G. This translates into the present context as follows.

  Prop704

proof707

This result allows one to fuse certain classes of subgroups into singletons.

  Cor709

A procedure which systematically searches tex2html_wrap_inline4313 for places where Corollary 4.10 can be applied in order to produce a stronger pre-fusion map will be called CheckNormalizerFrame.



Götz Pfeiffer Wed Oct 30 09:52:08 GMT 1996