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ON 2-TRANSITIVE SETS OF EQUIANGULAR LINES

Part of: Discrete geometry Permutation groups Graph theory

Published online by Cambridge University Press:  22 August 2022

ULRICH DEMPWOLFF Open the ORCID record for ULRICH DEMPWOLFF [Opens in a new window]  and
WILLIAM M. KANTOR Open the ORCID record for WILLIAM M. KANTOR [Opens in a new window]
ULRICH DEMPWOLFF
Affiliation:
Department of Mathematics, University of Kaiserslautern, Kaiserslautern 67653, Germany e-mail: dempwolff@mathematik.uni-kl.de
WILLIAM M. KANTOR*
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, USA
*
e-mail: kantor@uoregon.edu
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Abstract

We determine all finite sets of equiangular lines spanning finite-dimensional complex unitary spaces for which the action on the lines of the set-stabiliser in the unitary group is 2-transitive with a regular normal subgroup.

Keywords

2-transitiveequiangular lines

MSC classification

Primary: 52C35: Arrangements of points, flats, hyperplanes
Secondary: 05C25: Graphs and abstract algebra (groups, rings, fields, etc.) 20B25: Finite automorphism groups of algebraic, geometric, or combinatorial structures 81P15: Quantum measurement theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 107 , Issue 1 , February 2023 , pp. 134 - 145
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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