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3 questions
4
votes
0
answers
166
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Is there any good methods for writing down basis for laws of groups?
I am wondering if there is a good method to write down a finite equational basis for a finite group.
Especially I am wondering if there is a good method in following situations:
We can write a group ...
- 93
6
votes
3
answers
872
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An element $g$ in a group such that neither $g=1$ nor $g\ne 1$ can be proved.
Edited (this question contains two versions of a similar question)
Is there some finitely presented group $G$ generated by $g_1,...,g_n$ such that
there is an element $g\in G$ expressed as a finite ...
- 14.3k
8
votes
1
answer
338
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How bad can the recursive properties of finitely presented groups be?
Any finitely presented group naturally gives rise to an edge-labeled graph (the Cayley graph) and I am considering paths through this graph. Paths correspond to infinite sequences of generators, so ...
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