Current Search: Pace, Nicola (x)
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Title
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Large complete arcs in PG (2; qn), with q odd and n > 1 odd.
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Creator
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Pace, Nicola, Graduate College
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Date Issued
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2010-04-09
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PURL
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http://purl.flvc.org/fcla/dt/3176856
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Format
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Document (PDF)
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Title
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Coset intersection problem and application to 3-nets.
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Creator
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Pace, Nicola, Charles E. Schmidt College of Science, Department of Mathematical Sciences
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Abstract/Description
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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...
Show moreIn 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.
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Date Issued
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2012
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PURL
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http://purl.flvc.org/FAU/3355866
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Subject Headings
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Finite fields (Algebra), Mathematical physics, Field theory (Physics), Curves, Algebraic
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Format
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Document (PDF)
