Glasnik matematiÄki, Vol. 56 No. 1, 2021.
Izvorni znanstveni Älanak
https://doi.org/10.3336/gm.56.1.01
Symmetric 1-designs from PGL2(q), for q an odd prime power
Xavier Mbaale
; School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban 4000, South Africa
Bernardo Gabriel Rodrigues
orcid.org/0000-0002-1349-0219
; Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South Africa
Sažetak
All non-trivial point and block-primitive 1-(v, k, k) designs š that admit the group G = PGL2(q), where q is a power of an odd prime, as a permutation group of automorphisms are determined. These self-dual and symmetric 1-designs are constructed by defining { |M|/|M ā© Mg|: g ā G } to be the set of orbit lengths of the primitive action of G on the conjugates of M.
KljuÄne rijeÄi
Symmetric designs, linear code, projective general linear group
HrÄak ID:
259297
URI
Datum izdavanja:
24.6.2021.
Posjeta: 587 *