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Results tagged with gr.group-theory
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user 2878
Questions about the branch of algebra that deals with groups.
13
votes
Accepted
Checking whether given binary operation is a group operation
See this entry - http://rjlipton.wordpress.com/2010/06/03/an-amplification-trick-and-stoc-2010/ for a nice discussion on the question you have posed and other related ones. The article also has links …
- 480
2
votes
1
answer
312
views
Image of a fixed element under a random endomorphism in an Abelian group
Let $G$ be a finite Abelian group with endomorphism ring $End(G)$. I am interested in the probability $P(\phi(g_1) = g_2)$ for fixed $g_1,g_2 \in G$ and a uniformly chosen endomorphism $\phi(\cdot)$ f …
- 480
8
votes
Cool problems to impress students with group theory
I love the proof of Wilson's theorem through consideration of the multiplicative group of integers modulo-p. The solution is very slick and it wasn't until I saw this early in an undergraduate course …
1
vote
"Embedding" functions in groups
Thanks to all of you for your responses. For some reason (not enough rep points?), I don't see an "add comment" and so am posting this as an answer.
@Barton: I am interested in distributed function r …
- 480