Cameron-Liebler line classes in PG(3,q)

Author(s)Zou, Hanlin
Date Accessioned2021-01-25T14:21:11Z
Date Available2021-01-25T14:21:11Z
Publication Date2020
SWORD Update2020-10-13T19:03:10Z
AbstractThis thesis concerns a research on Cameron-Liebler line classes in PG(3,q), which were introduced by Cameron and Liebler in their study of collineation groups of PG(3,q) having equally many orbits on points and lines. These line classes have appeared in different contexts under disguised names such as Boolean degree one functions, regular codes of covering radius one, and tight sets. ☐ In this thesis we construct an infinite family of Cameron-Liebler line classes in PG(3,q) with new parameter x = (q+1)^2/3 for all prime powers q congruent to 2 modulo 3. The examples obtained when q is an odd power of two represent the first infinite family of Cameron-Liebler line classes in PG(3,q), q even. This result is joint work with Tao Feng, Koji Momihara, Morgan Rodgers and Qing Xiang.en_US
AdvisorXiang, Qing
DegreePh.D.
DepartmentUniversity of Delaware, Department of Mathematical Sciences
DOIhttps://doi.org/10.58088/eax8-w882
Unique Identifier1232471185
URLhttps://udspace.udel.edu/handle/19716/28520
Languageen
PublisherUniversity of Delawareen_US
URIhttps://login.udel.idm.oclc.org/login?url=https://www.proquest.com/dissertations-theses/cameron-liebler-line-classes-pg-3-q/docview/2455623954/se-2?accountid=10457
KeywordsCameron-Liebler line classesen_US
KeywordsCollineation groupsen_US
KeywordsPG(3,q)en_US
TitleCameron-Liebler line classes in PG(3,q)en_US
TypeThesisen_US
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