1.

Record Nr.

UNISA996466652803316

Autore

Knarr Norbert <1956->

Titolo

Translation planes : foundations and construction principles / / Norbert Knarr

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , [1995]

©1995

ISBN

3-540-44724-5

Edizione

[1st ed. 1995.]

Descrizione fisica

1 online resource (VI, 122 p.)

Collana

Lecture Notes in Mathematics ; ; Volume 1611

Disciplina

516.4

Soggetti

Translation planes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Foundations -- Spreads of 3-dimensional projective spaces -- Kinematic spaces -- Examples and supplements -- Locally compact 4-dimensional translation planes -- Planes of Lenz type V with complex kernel -- Locally compact translation planes of higher dimension.

Sommario/riassunto

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.