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Doubly transitive lines II: Almost simple symmetries

Authors :
Iverson, Joseph W.
Mixon, Dustin G.
Iverson, Joseph W.
Mixon, Dustin G.
Publication Year :
2019

Abstract

We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. This paper classifies those lines that exhibit almost simple symmetries. We introduce a general recipe involving Schur covers to recover doubly transitive lines from their automorphism group. Combining our results with recent work on the affine case by Dempwolff and Kantor, we deduce a classification of all linearly dependent doubly transitive lines in real or complex space.

Details

Database :
OAIster
Publication Type :
Electronic Resource
Accession number :
edsoai.on1106344100
Document Type :
Electronic Resource