Elements of finite order in free centre-by-nilpotent-by-abelian groups
S Kesim
article (Uluslararası, Hakemli) | Yazar(lar): S Kesim | Yıl: 2005 | Dergi/Kurum: COMMUNICATIONS IN ALGEBRA | İndeks: WOS.SCI | DOI: 10.1080/00927870500243080 — Özet: Let F be a free group of rank d >= 2. Consider the quotient F/[gamma(4)(F'), F]F"'. A peculiar feature of this group is the occurence of torsion in its ce
Let F be a free group of rank d >= 2. Consider the quotient F/[gamma(4)(F'), F]F"'. A peculiar feature of this group is the occurence of torsion in its centre. In this article, we describe an elementary abelian 2-group of rank ((d)(7)) in F/[gamma(4)(F'), F]F''' in terms of generators of F. We solve this purely, group theoretic problem using homological methods namely, computing certain connecting homomorphisms.