SOME PROPERTIES OF GENERALIZED FREE PRODUCTS AND THE IMBEDDING OF AMALGAMS OF GROUPS
β Scribed by Burgin, M S
- Book ID
- 115463944
- Publisher
- Turpion
- Year
- 1969
- Tongue
- English
- Weight
- 930 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0025-5734
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
We prove that a free product of infinitely many finitely generated, torsion free, nilpotent groups amalgamating isolated cycles is residually finite-p for all primes p so long as the number of generators and nilpotency class of the factors are both bounded. Examples illustrate that if we remove any