On the nilpotency class and solvability length of nonabelian tensor products of groups
β Scribed by Matthew P. Visscher
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 128 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
The nonabelian tensor square and the Schur multiplicator are determined for arbitrary groups of class 2 in a closed form. A functorial description is given in terms of a polynomial quotient of the integral group ring, as well as a more explicit formula for finite groups which can be evaluated by mat
Let G be a polycyclic group. We prove that if the nilpotent length of each finite quotient of G is bounded by a fixed integer n, then the nilpotent length of G is at most n. The case n s 1 is a well-known result of Hirsch. As a consequence, we obtain that if the nilpotent length of each 2-generator