Translation structures with a principal line

Authors

  • Stefano Pasotti

DOI:

https://doi.org/10.1285/i15900932v29n2p123

Keywords:

Translation structures, kinematic spaces, group divisible designs, linear spaces with parallelism

Abstract

En
Here we study affine parallel translation structures, both finite and infinite, with a principal line, that is a line which intersects every line not in its parallel class. These structures can be regarded also as (finite or infinite) translation transversal divisible designs. An algebraic characterization of these structures in terms of semidirect product of groups is provided and the main properties related to their group of automorphisms are inspected. The particular case of kinematic spaces is also taken into consideration.

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Published

03-06-2010

Issue

Volume 29, Issue 2 (2009)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode