Varieties and Nilpotent Extensions of Permutative Periodic Semigroups
β Scribed by Samuel J.L. Kopamu
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 409 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0037-1912
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π SIMILAR VOLUMES
We investigate the structure of groups satisfying a positi¨e law, that is, an identity of the form u ' ¨, where u and ¨are positive words. The main question here is whether all such groups are nilpotent-by-finite exponent. We answer this question affirmatively for a large class C C of groups includi
Let G, H be groups. G is called an extension of H if there is an epimorphism u: G + H . The congruence Ker u is uniquely determined by the normal subgroups N = o-l( la). Thus we may say that G is an extension of H by N . Analogously a monoid S is called an extension of a monoid C if there is an epi