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Texas A&M University
Mathematics

Groups and Dynamics Seminar

Date: February 26, 2020

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Yuri Bakhturin, Memorial University of Newfoundland

  

Title: Actions of maximal growth

Abstract: We study acts and modules of maximal growth over finitely generated free monoids and free associative algebras as well as free groups and free group algebras. The maximality of the growth implies some other specific properties of these acts and modules that makes them close to the free ones; at the same time, we show that being a strong "infiniteness" condition, the maximality of the growth can still be combined with various finiteness conditions, which would normally make finitely generated acts finite and finitely generated modules finite-dimensional. (Joint work with Alexander Olshanskii)