Projective planes of Lenz–Barlotti class V

Lunardon, Guglielmo

doi:10.1007/s00022-011-0087-x

J. Geom.

2011

DOI: 10.1007/s00022-011-0087-x

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Projective planes of Lenz–Barlotti class V

Guglielmo Lunardon

Abstract: We overview some recent results on projective planes of LenzBarlotti class V.Mathematics Subject Classification (2010). 21E20, 51EA15.

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50 Years of translation structures

Lunardon

2022

J. Geom.

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In this paper the term translation structure will denote any geometric object canonically constructed from an elementary abelian group. Hence, translation weak affine spaces, translation planes, linear sets, translation ovoids of polar spaces, translation generalized quadrangles and linear MRD-codes are examples of translation structures. I will present my personal excursus in the theory of finite translation structures, from the pioneering times of B. Segre, A. Barlotti and G. Tallini to these days. My aim is not to give a complete survey of the known results but to describe the influence of translation structures in proofs or disproofs of some conjectures in different areas of Finite Geometries and how valuable tool they were giving significant contributions in different areas of Discrete Mathematics.

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50 Years of translation structures

Lunardon

2022

J. Geom.

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scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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Projective planes of Lenz–Barlotti class V

Abstract: We overview some recent results on projective planes of LenzBarlotti class V.Mathematics Subject Classification (2010). 21E20, 51EA15.

Cited by 1 publication

References 44 publications

50 Years of translation structures

50 Years of translation structures

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