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- Dempwolff_group abstract "In mathematical finite group theory, the Dempwolff group is a finite group of order 319979520 = 215·32·5·7·31, that is the unique nonsplit extension of by its natural module of order . 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 as the subgroup fixing a certain lattice in the Lie algebra of , and is also contained in the Thompson sporadic group (the full automorphism group of this lattice) as a maximal subgroup.Huppert (1967, p.124) showed that that any extension of by its natural module splits if , and Dempwolff (1973) showed that it also splits if is not 3, 4, or 5, and in each of these three cases there is just one non-split extension. These three nonsplit extensions can be constructed as follows: The nonsplit extension is a maximal subgroup of the Chevalley group .The nonsplit extension is a maximal subgroup of the sporadic Conway group Co3.The nonsplit extension is a maximal subgroup of the Thompson sporadic group Th.".
- Dempwolff_group wikiPageExternalLink 25L52.
- Dempwolff_group wikiPageExternalLink item?id=RSMUP_1972__48__359_0.
- Dempwolff_group wikiPageID "29678093".
- Dempwolff_group wikiPageRevisionID "494075436".
- Dempwolff_group hasPhotoCollection Dempwolff_group.
- Dempwolff_group subject Category:Finite_groups.
- Dempwolff_group type Abstraction100002137.
- Dempwolff_group type FiniteGroups.
- Dempwolff_group type Group100031264.
- Dempwolff_group comment "In mathematical finite group theory, the Dempwolff group is a finite group of order 319979520 = 215·32·5·7·31, that is the unique nonsplit extension of by its natural module of order .".
- Dempwolff_group label "Dempwolff group".
- Dempwolff_group sameAs m.0fphh__.
- Dempwolff_group sameAs Q5256410.
- Dempwolff_group sameAs Q5256410.
- Dempwolff_group sameAs Dempwolff_group.
- Dempwolff_group wasDerivedFrom Dempwolff_group?oldid=494075436.
- Dempwolff_group isPrimaryTopicOf Dempwolff_group.