Automorphisms in Certain Nilpotent-by-Abelian Varieties of Groups

Author:

Kofinas C. E.

Abstract

AbstractFor positive integers n and k, with $$n \ge 4$$ n 4 , let $$F_{n}$$ F n be the free group of rank n and let $$G_{n,k} = F_{n}/\gamma _{3}(F^{\prime }_{n})[F^{\prime \prime }_{n},~_{k}F_{n}]$$ G n , k = F n / γ 3 ( F n ) [ F n , k F n ] . We show that for sufficiently large n, the automorphism group $${\textrm{Aut}}(G_{n,k})$$ Aut ( G n , k ) of $$G_{n,k}$$ G n , k is generated by the tame automorphisms and one more non-tame automorphism.

Funder

Aegean University

Publisher

Springer Science and Business Media LLC

Reference10 articles.

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