Date of Award
2012
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Abstract
In a projective plane (PG(2, K) defined over an algebraically closed field K of characteristic p = 0, we give a complete classification of 3-nets realizing a finite group. The known infinite family, due to Yuzvinsky, arised from plane cubics and comprises 3-nets realizing cyclic and direct products of two cyclic groups. Another known infinite family, due to Pereira and Yuzvinsky, comprises 3-nets realizing dihedral groups. We prove that there is no further infinite family and list all possible sporadic examples. If p is larger than the order of the group, the same classification holds true apart from three possible exceptions: Alt4, Sym4 and Alt5.
Extent
viii, 122 p. : ill.
Recommended Citation
Pace, Nicola, "Coset intersection problem and application to 3-nets" (2012). Electronic Theses and Dissertations 2010 - 2019. 481.
https://digitalcommons.fau.edu/etd_general_6/481
Identifier
FADT3355866
Comments
by Nicola Pace.|Thesis (Ph.D.)--Florida Atlantic University, 2012.|Includes bibliography.|System requirements: Adobe Reader.|Mode of access: World Wide Web.|by Nicola Pace.