Counting primitive elements in free groups (Q1851083)
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scientific article; zbMATH DE number 1845456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting primitive elements in free groups |
scientific article; zbMATH DE number 1845456 |
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Counting primitive elements in free groups (English)
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15 December 2002
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Primitive elements in free groups are those elements that can be part of a free basis of the group. The purpose of this paper is to study the distribution of the primitive elements inside of a free group. The way for doing this is to relate them to the concentric balls of elements. (Two kinds of density are considered, the natural one and the exponential one.)
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density
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free groups
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primitive elements
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free basis
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concentric balls
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0.98040986
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0.9156246
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0.9147377
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0.9117834
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0.89455223
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0.89449775
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0.8931439
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