On automorphisms for some fibered incidence groups

Silvia Pianta

doi:10.1007/BF01227814

On automorphisms for some fibered incidence groups

Silvia Pianta

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

7 Citazioni (Scopus)

Abstract

In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.

Lingua originale	English
pagine (da-a)	164-171
Numero di pagine	8
Rivista	Journal of Geometry
Volume	30
DOI	https://doi.org/10.1007/BF01227814
Stato di pubblicazione	Pubblicato - 1987

Keywords

Fibered group, kinematic space, automorphism, nearfield

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10.1007/BF01227814

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title = "On automorphisms for some fibered incidence groups",

abstract = "In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.",

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author = "Silvia Pianta",

year = "1987",

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language = "English",

volume = "30",

pages = "164--171",

journal = "Journal of Geometry",

issn = "0047-2468",

publisher = "Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: subscriptions@birkhauser.ch, INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792",

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TY - JOUR

T1 - On automorphisms for some fibered incidence groups

AU - Pianta, Silvia

PY - 1987

Y1 - 1987

N2 - In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.

AB - In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.

KW - Fibered group, kinematic space, automorphism, nearfield

UR - http://hdl.handle.net/10807/129197

U2 - 10.1007/BF01227814

DO - 10.1007/BF01227814

M3 - Article

VL - 30

SP - 164

EP - 171

JO - Journal of Geometry

JF - Journal of Geometry

SN - 0047-2468

ER -

On automorphisms for some fibered incidence groups

Abstract

Keywords

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