On supersimple groups
| Type of Publication: | Journal article |
| Author: | Milliet, Cedric |
| Year of publication: | 2013 |
| Published in: | Journal of Algebra ; 373 (2013). - pp. 426-438. - ISSN 0021-8693 |
| DOI (citable link): | https://dx.doi.org/10.1016/j.jalgebra.2012.09.033 |
| Summary: |
An infinite group having a supersimple theory has a finite series of definable subgroups whose factors are infinite and either virtually-FC or virtually-simple modulo a finite FC-centre. We deduce that a group which is type-definable in a supersimple theory has a finite series of relatively definable subgroups whose factors are either abelian or simple groups. In this decomposition, the non-abelian simple factors are unique up to isomorphism.
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| MSC Classification: | 03C45, 03C60 (primary) 20F16, 20F24, 20F14 (secondary) |
| Subject (DDC): | 510 Mathematics |
| Keywords: | Model theory, supersimple group, just-infinite groups, series with Abelian or simple factors |
| Bibliography of Konstanz: | Yes |
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MILLIET, Cedric, 2013. On supersimple groups. In: Journal of Algebra. 373, pp. 426-438. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2012.09.033
@article{Milliet2013super-26613, title={On supersimple groups}, year={2013}, doi={10.1016/j.jalgebra.2012.09.033}, volume={373}, issn={0021-8693}, journal={Journal of Algebra}, pages={426--438}, author={Milliet, Cedric} }
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