Article contents
Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered
Published online by Cambridge University Press: 20 November 2018
Extract
Let G be a group and n(≧ 2) an integer. We say that G belongs to the class of groups Pn if every product of n elements can be reordered, i.e. for all n-tuples , there exists a non-trivial element σ in the symmetric group Σn such that Let P denote the union of the classes Pn, n ≧ 2. Clearly every finite group belongs to P and each class Pn is closed with respect to forming subgroups and factor groups.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1990
Footnotes
The authors are grateful to British Council and C.N.R. for financial support while this work was being carried out in Italy and Warwick.
References
- 5
- Cited by