Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599591 | Linear Algebra and its Applications | 2014 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Guodong Deng, Yun Fan,