Construct · 1 fields · 1 citations

Tits alternative: a standalone construct

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Titsalternative1 CONSTRUCTTits alternativeTITS · GROUP THEORY

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Group theory

a finitely generated linear group either contains a free subgroup on two generators or has a solvable subgroup of finite index.

In group theory, Tits alternative refers to a finitely generated linear group either contains a free subgroup on two generators or has a solvable subgroup of finite index. This meaning comes from Tits (1972) in Journal of Algebra.[1]

Unit
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Nearby constructs

group4 fields · 4 citationsjingle · one word, four constructsindex5 fields · 11 citationsjingle · one word, five constructs

References

  1. Tits, J. (1972). Free subgroups in linear groups. Journal of Algebra, 20(2), 250-270. https://doi.org/10.1016/0021-8693(72)90058-0

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