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Achtdimensionale lokalkompakte Translationsebenen mit großen kompakten Kollineationsgruppen (1980)

Hähl, Hermann

Springer

Monatshefte für Mathematik 90 (1980), S. 207-218

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ISSN: 1436-5081

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper is part of a program aiming at the classification of all higher-dimensional locally compact translation planes whose collineation groups have large dimension. In the present paper we determine all eight-dimensional locally compact translation planes which admit acompact collineation group Σ of dimension at least 5 acting almost effectively on the translation axis. In fact, Σ is isomorphic either to Spin4ℝ or toSO 4(ℝ). The case∑ ≅ Spin4(ℝ) has already been treated elsewhere ([6]). Here, the planes with∑ ≅SO 4(ℝ) are explicitly determined and studied in detail.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01295365

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