Аннотация:
Description of the group of outer automorphisms of the Gersten group was obtained by the author together with F. Dudkin in 2021 [7]. In this paper, we study the possibility of extending the methods of that work to an infinite class of cyclic extensions of a free group of rank three $$G_k = \langle a, b, c, t | a^t = a, b^t = ba^k, c^t = c \rangle.$$ We have found the generating elements of the group $Out(G_k)$ and obtained a description of the structure of this group.
Ключевые слова:
Free group, split cyclic extension, group of outer automorphisms.
Полный текст:
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