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Abstract Let F be a free group of rank Consider the quotient the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3.… Click to show full abstract
Abstract Let F be a free group of rank Consider the quotient the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3. A peculiar feature of this group is the occurence of torsion in its centre. Our main result is a complete description of an elementary abelian 2-group of rank in in terms of generators of F for Our approach makes essential use of homological methods.
Keywords:
abelian group;
group;
centre nilpotent;
nilpotent class;
free centre
Journal Title: Communications in Algebra
Year Published: 2021
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Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!