Let C C be a class of groups, closed under taking subgroups and quotients. We prove that if all metabelian groups of C C are torsion-by-nilpotent, then all soluble groups of C C are torsion-by-nilpotent. From that, we deduce the following conse-Ε½ quence, similar to a well-known result of P. Hall 195
On torsion-free nilpotent varieties
β Scribed by Frank Levin
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 457 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, each step extending a representation of an element o
## Abstract In the present paper we give a description of the free algebra over an arbitrary set of generators in the variety of nilpotent minimum algebras. Such description is given in terms of a weak Boolean product of directly indecomposable algebras over the Boolean space corresponding to the B
THE DECISION PROBLEM FOR CERTAIN NILPOTENT CLOSED VARIETIES by STEPHEN D. COMER in Charleston, South Carolina (U.S.A.