Dempwolff group

id: dempwolff-group-175-15906439
title: Dempwolff group
text: In mathematical finite group theory, the Dempwolff group is a finite group of order 319979520 = 2ⁱ⁵·3⁲·5·7·31, that is the unique nonsplit extension 2 5. G L 5 of G L 5 by its natural module of order 2 5. The uniqueness of such a nonsplit extension was shown by Dempwolff (1972), and the existence by Thompson (1976), who showed using some computer calculations of Smith (1976) that the Dempwolff group is contained in the compact Lie group E 8 as the subgroup fixing a certain lattice in the Lie alg
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original url: https://en.wikipedia.org/wiki/Dempwolff_group
date created: 2010-11-20T19:48:25Z
date modified: 2024-09-03T11:01:27Z
main entity: {"identifier":"Q5256410","url":"https://www.wikidata.org/entity/Q5256410"}
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fields total: 13
integrity: 14

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