A sharp threshold for collapse of the random triangular group (Q2406843)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sharp threshold for collapse of the random triangular group |
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A sharp threshold for collapse of the random triangular group (English)
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29 September 2017
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Summary: The random triangular group \(\Gamma(n,p)\) is the group given by a random group presentation with \(n\) generators in which every relator of length three is present independently with probability \(p\). We show that in the evolution of \(\Gamma(n,p)\) the property of collapsing to the trivial group admits a very sharp threshold.
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random group
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collapse
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sharp threshold
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torsion-free group
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