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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
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 this Math Help site is Graeme McRae.