Cycles in Projective Spaces

2013/10/01 by Elaina Aceves, David Heywood, Aceves, Elaina +5
Mathematics · #05C10 #51E15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05C10 #msc:51E15

paper · pdf · doi:10.48550/arxiv.1310.0199

6 pages

arxiv created 2013/10/01 · arxiv updated 2013/10/02

Abstract

We prove that every possible k-cycle can be embedded into PG(n,q), for all n≥ 3 and q a power of a prime.

Related

• Embedding cycles in finite planes
• Cycles, wheels, and gears in finite planes
• Partial k-Parallelisms in Finite Projective Spaces
• Prime Power Residues and Blocking Sets
• A note on small weight codewords of projective geometric codes and on the smallest sets of even type