Geometry of free products (Q1070335)
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scientific article; zbMATH DE number 3935297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of free products |
scientific article; zbMATH DE number 3935297 |
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Geometry of free products (English)
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1986
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The rank of the free factor of a subgroup \(\Phi\) of a free product \(\Gamma =\prod^{*}_{i\in I}\Gamma_ i\) given by Kurosh's theorem is a well-defined invariant of \(\Phi\) as a subgroup of \(\Gamma\) and it has some analogies with the genus and the number of cusps of a subgroup of a fuchsian group. We explain these analogies by means of the diagrams and their thickenings introduced in an earlier paper and give extensions of a number of results by Greenberg, Millington, Newman, Rosenberger, Zieschang....
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Kurosh subgroup theorem
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rank
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free factor
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free product
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genus
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number of cusps
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subgroup of a fuchsian group
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diagrams
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