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- W2786890902 abstract "We consider the graph $E_{n+1,1}$ with (n+1) generators $sigma_1,..., sigma_{n}$, and $delta$, where $sigma_{i}$ has an edge with $sigma_{i+1}$ for $i=1,...,n+1$, and $ sigma_{1}$ has an edge with $delta$. We then define the Artin group of the graph $E_{n+1,1}$ for $n=3$ and $n=4$ and consider its reduced Perron's representation of degrees four and five respectively. After we specialize the indeterminates used in defining the representation to non-zero complex numbers, we obtain necessary and sufficient conditions that guarantee the irreducibility of the representations for $n=3$ and $4$ ." @default.
- W2786890902 created "2018-02-23" @default.
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- W2786890902 date "2018-01-30" @default.
- W2786890902 modified "2023-09-25" @default.
- W2786890902 title "On the Irreducibility of Perron Representations of Degrees 4 and 5" @default.
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- W2786890902 doi "https://doi.org/10.29020/nybg.ejpam.v11i1.3199" @default.
- W2786890902 hasPublicationYear "2018" @default.
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