Nilpotent and solvable groups

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia

Last updates: 27 November 2011

Nilpotent and Solvable groups

A group is a set G with a multiplication such that

  1. If a,b,cG then (ab)c=a(bc) .
  2. There exists an identity 1G,
  3. Every element of G is invertible.

Let G be a group. Let x,yG.

Let G be a group.

Nondiscrete groups

Notes and References

These basic definitions need to be combined with another page somewhere. The reference below needs fixing.


[BouTop] N. Bourbaki, General Topology, Chapter VI, Springer-Verlag, Berlin 1989. MR?????

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