Abstract
In the present work, we give a certain modification of one of the possible definitions of an Engel group. As a consequence of this, we define a class of groups which in the finite case turns out to be wider than the class of Engel groups. For the finite case, we obtain a complete description of groups of this wider class (Section 3). In Section 4 we define a subclass of Engel groups that contains in particular the 3-Engel groups.
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References
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© 2009 Birkhäuser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland
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Shirshov, A.I. (2009). On Some Groups which are Nearly Engel. In: Bokut, L., Shestakov, I., Latyshev, V., Zelmanov, E. (eds) Selected Works of A.I. Shirshov. Contemporary Mathematicians. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8858-4_15
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DOI: https://doi.org/10.1007/978-3-7643-8858-4_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8857-7
Online ISBN: 978-3-7643-8858-4
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