Journal article
The covering radius of PGL2(q)
B Xia
Discrete Mathematics | ELSEVIER SCIENCE BV | Published : 2017
Abstract
The covering radius of a subset C of the symmetric group Sn is the maximal Hamming distance of an element of Sn from C. This note determines the covering radii of the finite 2-dimensional projective general linear groups. It turns out that the covering radius of PGL2(q) is q−2 if q is even, and is q−3 if q is odd.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
The author was supported by Australian Research Council grant DP150101066. This note is in response to a problem posed by Peter Cameron and Ian Wanless during their visit to the University of Western Australia. The author is very grateful to them for bringing this problem into his attention.