A recursive construction for universal cycles of 2-subspaces |
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| Authors: | Bradley W Jackson Joe Buhler Ray Mayer |
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| Institution: | aDepartment of Mathematics, San Jose State University, United States;bCenter for Communications Research, La Jolla, United States;cDepartment of Mathematics, Reed College, United States |
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| Abstract: | We prove that universal cycles of 2-dimensional subspaces of vector spaces over any finite field F exist, i.e., if V is a finite-dimensional vector space over F, there is a cycle of vectors v1,v2,…,vn such that each 2-dimensional subspace of V occurs exactly once as the span of consecutive vectors. |
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| Keywords: | Universal cycle 2-subspaces |
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