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Let F be a field and G a group. We present the conditions under which \(\mathcal {U}(FG)\) is a solvable group. Assuming that char \(F\ne 2\) , and F is infinite, we then discuss results concerning groups G such that \(\mathcal {U}^+(FG)\) is solvable, when FG has the classical involution.

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Solvability of \(\mathcal {U}(FG)\) and \(\mathcal {U}^+(FG)\)

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  • 发表日期：

    2025年

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  • Gregory T. Lee

摘要

Let F be a field and G a group. We present the conditions under which \(\mathcal {U}(FG)\) is a solvable group. Assuming that char \(F\ne 2\) , and F is infinite, we then discuss results concerning groups G such that \(\mathcal {U}^+(FG)\) is solvable, when FG has the classical involution.