Products of conjugacy classes in finite unitary groups \(\mathrm{GU}(3,q^2)\) and \(\mathrm{SU}(3,q^2)\). (Q355218)
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scientific article; zbMATH DE number 6190678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Products of conjugacy classes in finite unitary groups \(\mathrm{GU}(3,q^2)\) and \(\mathrm{SU}(3,q^2)\). |
scientific article; zbMATH DE number 6190678 |
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Products of conjugacy classes in finite unitary groups \(\mathrm{GU}(3,q^2)\) and \(\mathrm{SU}(3,q^2)\). (English)
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24 July 2013
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This paper study the Class Product Problem. Let \(c_1,\ldots,c_m\) be conjugacy classes in a given group. Does the unity of the group belong to their product? For the groups \(\mathrm{GU}(3)\), \(\mathrm{SU}(3)\), \(\mathrm{GL}(3)\), \(\mathrm{SU}(3)\) over a finite field the author solves the class product problem, i.e., he gives a complete list of \(m\)-tuples of conjugacy classes whose product does not contain the identity matrix.
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class product problem
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products of conjugacy classes
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finite unitary groups
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finite fields
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