Generator (English)
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Definition (undergraduate level)
A set H of generators for a group G is a set of elements of G with the property that any element of G can be made by multiplying together one or more elements of H.
For a given group, there may be many different generator sets. For a cyclic group we can find a generator set with only one element.
For a given group, there may be many different generator sets. For a cyclic group we can find a generator set with only one element.
Relations
- broader:
- (en) Set
- references:
- (en) Group
- referenced:
- (en) Cyclic group
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