Author:
Ol'shanskii A. Yu.,Storozhev A.
Abstract
AbstractA group variety defined by one semigroup law in two variables is constructed and it is proved that its free group is not a periodic extension of a locally soluble group.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference5 articles.
1. Groups with no free subsemigroups;Longobardi;Proc. Amer. Math. Soc.
2. Geometry of Defining Relations in Groups
3. Semigroup laws in varieties of solvable groups
4. On abelian subgroups of relatively free groups
5. On some positively defined group varieties;Shirshov;Sib. Mat. J.,1967
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