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Results tagged with gr.group-theory
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user 3988
Questions about the branch of algebra that deals with groups.
3
votes
Group ring and left zero divisor
Using the miniscule amounts of representation theory I know, you can construct an example as follows.
Let $G=S_3=D_6=\left< r,s\mid r^3=s^2=srsr=e \right>$ (rotation $r$ and flip $s$), and let $K=\ma …
- 573
9
votes
2
answers
471
views
Can any properties of a ring other than being a field be captured by the geometry of its 2-d...
Can any properties of a ring other than being a field be captured by the geometry of its 2-dimensional free module?
Background:
In his wonderful, wonderful book Geometric Algebra, Emil Artin describes …
- 573