On automorphisms for some fibered incidence groups

Silvia Pianta

doi:10.1007/BF01227814

On automorphisms for some fibered incidence groups

Silvia Pianta

Università Cattolica del Sacro Cuore

Research output: Contribution to journal › Article › peer-review

7 Citations (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.

Original language	English
Pages (from-to)	164-171
Number of pages	8
Journal	Journal of Geometry
Volume	30
DOIs	https://doi.org/10.1007/BF01227814
Publication status	Published - 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",

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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

SN - 0047-2468

VL - 30

SP - 164

EP - 171

JO - Journal of Geometry

JF - Journal of Geometry

ER -

On automorphisms for some fibered incidence groups

Abstract

Keywords

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