Thompson Groups
(Sprache: Englisch)
High Quality Content by WIKIPEDIA articles! In mathematics, the Thompson groups (also called Thompson's groups, vagabond groups or chameleon groups) are three groups, commonly denoted F, T and V, which were first studied by the logician Richard Thompson in...
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High Quality Content by WIKIPEDIA articles! In mathematics, the Thompson groups (also called Thompson's groups, vagabond groups or chameleon groups) are three groups, commonly denoted F, T and V, which were first studied by the logician Richard Thompson in 1965. Of the three, F is the most widely studied, and is sometimes referred to as the Thompson group or Thompson's group. The Thompson groups, and F in particular, have a collection of unusual properties which have made them counterexamples to many general conjectures in group theory. All three Thompson groups are infinite but finitely presented. T and V are (rare) examples of infinite but finitely-presented simple groups. The group F is "just non-abelian" in the sense that it is not abelian, but all its proper homomorphic images are abelian.
Bibliographische Angaben
- 2010, 80 Seiten, Maße: 15 x 22 cm, Kartoniert (TB), Englisch
- Herausgegeben von Surhone, Lambert M.; Timpledon, Miriam T.; Marseken, Susan F.
- Verlag: Betascript Publishing
- ISBN-10: 6131141908
- ISBN-13: 9786131141904
Sprache:
Englisch
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