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- W4286910165 abstract "We investigate alternating sign matrices that are not permutation matrices, but have finite order in a general linear group. We classify all such examples of the form $P+T$, where $P$ is a permutation matrix and $T$ has four non-zero entries, forming a square with entries $1$ and $-1$ in each row and column. We show that the multiplicative orders of these matrices do not always coincide with those of permutation matrices of the same size. We pose the problem of identifying finite subgroups of general linear groups that are generated by alternating sign matrices." @default.
- W4286910165 created "2022-07-25" @default.
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- W4286910165 date "2021-10-05" @default.
- W4286910165 modified "2023-09-28" @default.
- W4286910165 title "Alternating sign matrices of finite multiplicative order" @default.
- W4286910165 doi "https://doi.org/10.48550/arxiv.2110.02024" @default.
- W4286910165 hasPublicationYear "2021" @default.
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