math links - groups, semigroups, quasigroups, loops

math links - groups, semigroups, quasigroups, loops

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"You can't add apples and oranges". False. You can in the free abelian group generated by an apple and an orange.

Dave Penneys at mathoverflow

New York Group Theory Cooperative & The World of Groups (list of (open & solved) problems, software, people, lecture notes, ...)
Atlas of finite groups representations
John Baez' TWF entry on permutation representations
Catalog of groups through their subgroup lattices by James B. Wilson.
The Group Properties Wiki.
The free 2-step nilpotent group of rank 2 can be realized as the Heisenberg group
```
         ( 1 Z Z )
UT₃(Z) = ( 0 1 Z )
         ( 0 0 1 )
```
SO(3,R) is simple (as an abstract group).

Semigroups, quasigroup, loops:

Group (co)homology:

created Dec 1 2002
last modified Mon Apr 2 12:50:28 EEST 2012