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Incidence loops and their geometry
1992Publisher Summary This chapter discusses the concept of incidence loops and their geometry. An incidence group (P, L,·) is a group (P,·) together with a structure (P, L) of an incidence space such that both structures are compatible. The notion of incidence group can be generalized by weakening the assumptions concerning the algebraic structure of P;
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On apartments in incidence geometry
2009info:eu-repo/semantics ...
Buekenhout, Francis, Leemans, Dimitri
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Preliminaries and Incidence Geometry (I)
2015This chapter contains a brief summary of several types of mathematical knowledge needed to read this book, including the elements of logic, set theory, mapping theory, and algebraic structures such as number systems and vector spaces. Definitions of basis, dimension, linear mappings, isomorphism, matrices and determinants are given; there is also ...
Edward John Specht +3 more
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On incidence matrices of finite affine geometries
Ars Comb., 1997The author proves that for each two levels of the lattice \(\text{AG}(n-1,q)\) of flats of a finite affine geometry the incidence \(0-1\) matrix (\(a_{XY}=1\) iff \(X\leq Y\)) has full rank.
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Point-hyperplane Incidence Geometry and the Log-rank Conjecture
ACM Transactions on Computation Theory, 2022Noah Singer, Madhu Sudan, Madhu Sudan
exaly
The global incidence of lip, oral cavity, and pharyngeal cancers by subsite in 2012
Ca-A Cancer Journal for Clinicians, 2017Kevin D Shield +2 more
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