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arXiv · 1311.6583

Permutation-like Matrix Groups with a Maximal Cycle of Prime Square Length

Guodong Deng·Yun Fan
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Abstract

A matrix group is said to be permutation-like if any matrix of the group is similar to a permutation matrix. G. Cigler proved that, if a permutation-like matrix group contains a normal cyclic subgroup which is generated by a maximal cycle and the matrix dimension is a prime, then the group is similar to a permutation matrix group. This paper extends the result to the case where the matrix dimension is a square of a prime.

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Guodong Deng, Yun Fan. 2013-11-26. Permutation-like Matrix Groups with a Maximal Cycle of Prime Square Length. https://arxiv.org/abs/1311.6583

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