Palindromic automorphisms of free nilpotent groups

Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mikhail V. Neshchadim, Mahender Singh

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant–Gupta–Levin–Mochizuki for a central automorphism to be tame.

Язык оригиналаанглийский
Страницы (с-по)316-338
Число страниц23
ЖурналJournal of Pure and Applied Algebra
Том221
Номер выпуска2
DOI
СостояниеОпубликовано - 1 фев 2017

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