Eiichi Bannaĭ, Gabriel Navarro, Noelia Rizo, Pham Huu Tiep
Abstract
Relying on the main results of [Guralnick-Tiep], 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 $t \geq 6$.
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Relying on the main results of [Guralnick-Tiep], 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 $t \geq 6$.
Key concepts: Unitary state, Unitary group, Dimension (graph theory), Special unitary group, Group (periodic table), Mathematics, Circular ensemble, Projective unitary group