Math Help -> Basic Principles -> Abstract Algebra -> Group Theory 

Group Theory

Group

A group is a set A with group operation xy (multiplication), such that
bullet. . . . . . four group axioms

. . . . . .  Topic

There are two dueling "Group" pages in this website -- BasicAAGroup.htm was created, but a lot of information is in BasicSetGroup.htm, so these pages need to be coordinated (BasicSetGroup.htm should be elementary, with more advanced theory in BasicAAGroup.htm.)  

Topics of interest include...

Subgroup

Coset

Lagrange's Theorem

 

Related pages in this website

Sets - how to construct sets of integers, reals, etc.

Group - a set closed under one operation.

Fermat's Theorems -- Fermat's Little Theorem, in particular.

 

 

The webmaster and author of the Math Help site is Graeme McRae.
     [home]  [email]  [search]  [Links to Math Sites]  [Whiteboard]