Symmetric 1-designs from PGL2(q), for q an odd prime power
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Published:2021-06-24
Issue:1
Volume:56
Page:1-15
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ISSN:0017-095X
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Container-title:Glasnik Matematicki
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language:
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Short-container-title:Glas. Mat. Ser. III
Author:
Mbaale Xavier, ,Rodrigues Bernardo Gabriel,
Abstract
All non-trivial point and block-primitive 1-(v, k, k) designs 𝓓 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 ∩ Mg|: g ∈ G } to be the set of orbit lengths of the primitive action of G on the conjugates of M.
Publisher
University of Zagreb, Faculty of Science, Department of Mathematics
Subject
General Mathematics
Cited by
1 articles.
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