Growth tightness of free and amalgamated products
โ Scribed by Andrea Sambusetti
- Book ID
- 108317481
- Publisher
- NUMDAM (Numrisation de Documents Anciens Mathmatiques)
- Year
- 2002
- Tongue
- French
- Weight
- 155 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0012-9593
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๐ SIMILAR VOLUMES
We study amalgamated free products in the category of inverse semigroups. Our approach is combinatorial. Graphical techniques are used to relate the structures of the inverse semigroups in a pushout square, and we then examine amalgamated free products. We show that an amalgam of inverse semigroups
G and G amalgamating a common subgroup H. The first problem that 1 2 one encounters is that the residual finiteness of G and G does not imply 1 2 w x in general that G is residually finite. Baumslag 1 proved that if G and 1 G are either both free or both torsion-free finitely generated nilpotent 2 g