ON NONABELIAN TENSOR ANALOGUES OF 2-ENGEL CONDITIONS
Published online by Cambridge University Press: 31 January 2005
Abstract
Tensor analogues of right 2-Engel elements in groups were introduced by D. P. Biddle and L.-C. Kappe. We investigate the properties of right 2-Engel tensor elements and introduce the concept of $2_{\otimes}$-Engel margin. With the help of these results we describe the structure of $2_{\otimes}$-Engel groups. In particular, we prove a tensor version of Levi's theorem for 2-Engel groups and determine tensor squares of two-generator $2_{\otimes}$-Engel $p$-groups.
- Type
- Research Article
- Information
- Copyright
- 2005 Glasgow Mathematical Journal Trust
Footnotes
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