Research paper of a Lincoln algebraist in a high-ranking mathematical journal

Charlotte Scott Centre for Algebra

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia)Strong conciseness of Engel words in profinite groups” has been accepted for publication in a high-ranking  mathematical journal Mathematische Nachrichten. The work stems from the collaboration with University of Brasilia.

Math-NachrAbstract: A group word $latex w$ is said to be strongly concise in a class $latex mathscr C$ of profinite groups if, for any group $latex G$ in $latex mathscr C$, either $latex w$ takes at least continuum many values in $latex G$ or the verbal subgroup $latex w(G)$ is finite. It is conjectured that all words are strongly concise in the class of all profinite groups. Earlier Detomi, Klopsch, and Shumyatsky proved this conjecture for multilinear commutator words, as well as for some other particular words. They also proved that every group word is strongly concise in the class of…

View original post 64 more words

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.

© School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, LN6 7TS, United Kingdom
%d bloggers like this: