Tits Alternative
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High Quality Content by WIKIPEDIA articles! In mathematics, the Tits alternative, named for Jacques Tits, is an important theorem about the structure of finitely generated linear groups. It states that every such group is either virtually solvable (i.e. has a solvable subgroup of finite index), or it contains a subgroup isomorphic to the free group on two generators.In geometric group theory, a group G is said to satisfy the Tits alternative if for every subgroup H of G either H is virtually solvable or H contains a nonabelian free subgroup (in some versions of the definition this condition is only required to be satisfied for all finitely generated subgroups of G).
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131147012
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131147012
- Format Fachbuch
- Titel Tits Alternative
- Herausgeber Betascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
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