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On an Article by W. Magnus on the Fricke Characters of Free Groups

✍ Scribed by Jacques Peyrière

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
228
Category
Article
ISSN
0021-8693

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✦ Synopsis

Another way of deriving the structure of the ring of Fricke characters of free groups and a classification of unitary and associative algebras over an arbitrary field with elements having a minimal polynomial of degree at most 2 are given.

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On the Intersection of Double Cosets in
On the Intersection of Double Cosets in Free Groups, with an Application to Amalgamated Products
✍ R.G. Burns; S.-M. Kam 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 244 KB

It is shown that if H, K are any finitely generated subgroups of a free group F and U is any cyclic subgroup of F, then any intersection Hg U l Kg U of double 1 2 Ž . cosets contains only a finite number of double cosets H l K gU, and an explicit upper bound for this number is given in terms of the