|
|
«Алгоритмические вопросы алгебры и логики» (семинар С.И.Адяна)
27 апреля 2021 г. 18:30–19:30, г. Москва, Математический институт им.В.А.Стеклова РАН
|
|
|
|
|
|
Exponential equations in groups
O. V. Bogopolskii Dusseldorf University
|
Количество просмотров: |
Эта страница: | 131 |
|
Аннотация:
An exponential equation over a group G is an equation of kind $u_1g_1^{x_1}.... u_ng_n^{x_n}=1$, where $u_i$, $g_i$ are given elements of G and $x_i$ are variables with possible values in $Z$. In the joint paper with A. Bier we show that if G is acylindrically hyperbolic, then the norm of a "minimal solution" of such equation can be linearly bounded in terms of lengths of its coefficients $u_i$, $g_i$. In the joint paper with A. Iwanow we show that there exists a finitely presented group $G$ such that there is an algorithm solving exponential equations with one variable over $G$ and there is no algorithm solving exponential equations with two variables over $G$. In my talk I will sketch the proofs of these and related results.
Язык доклада: английский
|
|