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Generating set of a group

1 byte added, 04:35, 11 April 2017
Cayley graph
{{further|[[Cayley graph of a group]]}}
 
Given a generating set of a group, we can construct the [[Cayley graph of a group|Cayley graph]] of the group with respect to that generating set. This is a graph whose vertex set is the set of elements of the group and where there is an edge between two vertices whenever one can be taken to the other by left multiplying by a generator.
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