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Groups which satisfy a Thue–Morse identity.
- Source :
- Journal of Algebra & Its Applications; Oct2020, Vol. 19 Issue 10, pN.PAG-N.PAG, 5p
- Publication Year :
- 2020
-
Abstract
- In this paper, we study 3-Thue–Morse groups, but these are the groups satisfying the semigroup identity x y 2 x y x 2 y = y x 2 y x y 2 x. We prove that if G is a 3-Thue–Morse group then 〈 x , x y 〉 is soluble for every x and y in G. Furthermore, if G is an Engel group without involution then we show that G is locally nilpotent. [ABSTRACT FROM AUTHOR]
- Subjects :
- NILPOTENT groups
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 145304238
- Full Text :
- https://doi.org/10.1142/S0219498820501911