No CrossRef data available.
Article contents
On the join of varieties of groups
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We introduce two pseudoabelian group varieties, each defined by one word in two variables, and prove that their join is not pseudoabelian. We also prove that every variety which is nilpotent of class two, is not join-inaccessible.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1995
References
[1]Notebook, Kourovka, Unsolved problems of the group theory, Tenth Edition (Novosibirsk, 1986).Google Scholar
[2]Kovács, L.G., ‘Inaccessible varieties of groups’, Bull. Austral. Math. Soc. 17 (1974), 506–510.CrossRefGoogle Scholar
[3]Kovács, L.G. and Newman, M.F., ‘Hanna Neumann's problems on varieties of groups’, in Proceedings of the Second International Conference on the Theory of Groups, Lecture Notes in Mathematics 372 (Springer-Verlag, Berlin, Heidelberg, New York, 1974), pp. 417–431.Google Scholar
[4]Neumann, H., Varieties of groups (Springer-Verlag, Berlin, Heidelberg, New York, 1967).CrossRefGoogle Scholar
[5]Ol'shanskii, A.Yu., ‘Varieties in which all finite groups are abelian’, Mat. Sb. 126 (1985), 59–82.Google Scholar
[6]Ol'shanskii, A.Yu., Geometry of defining relations in groups, Mathematics and its application (Soviet Series) 70 (Kluwer Academic Publishers, Dordrecht, 1991).CrossRefGoogle Scholar
[7]Storozhev, A., ‘On abelian subgroups of relatively free groups’, Comm. Algebra 22 (1994), 2677–2701.CrossRefGoogle Scholar
You have
Access