50 Years of translation structures

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Geometry

سال: 2022

ISSN: ['0047-2468', '1420-8997']

DOI: https://doi.org/10.1007/s00022-022-00643-5