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Coset intersection problem and application to 3-nets
| Title: | Coset intersection problem and application to 3-nets. |
 88 views 16 downloads |
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| Name(s): |
Pace, Nicola Charles E. Schmidt College of Science Department of Mathematical Sciences |
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| Type of Resource: | text | |
| Genre: | Electronic Thesis Or Dissertation | |
| Issuance: | monographic | |
| Date Issued: | 2012 | |
| Publisher: | Florida Atlantic University | |
| Physical Form: | electronic | |
| Extent: | viii, 122 p. : ill. | |
| Language(s): | English | |
| Summary: | 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. | |
| Identifier: | 820724072 (oclc), 3355866 (digitool), FADT3355866 (IID), fau:3955 (fedora) | |
| Note(s): |
by Nicola Pace. Thesis (Ph.D.)--Florida Atlantic University, 2012. Includes bibliography. System requirements: Adobe Reader. Mode of access: World Wide Web. |
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| Subject(s): |
Finite fields (Algebra) Mathematical physics Field theory (Physics) Curves, Algebraic |
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| Held by: | FBoU FAUER | |
| Persistent Link to This Record: | http://purl.flvc.org/FAU/3355866 | |
| Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
| Host Institution: | FAU |
