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Unitary \(t\)-groups. (English) Zbl 07257215
Summary: Relying on the main results of [GT], we classify all unitary \(t\)-groups for \(t\geq 2\) in any dimension \(d\geq 2\). We also show that there is essentially a unique unitary 4-group, which is also a unitary 5-group, but not a unitary \(t\)-group for any \(t\geq 6\).

MSC:
20C15 Ordinary representations and characters
05B30 Other designs, configurations
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
Software:
CHEVIE; GAP
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References:
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