# Mathematics Algebra Seminar - Ualbai Umirbaev

**Date:**September 27, 2022

**Time:**1:00 p.m. - 2:00 p.m.

**Category:**Seminar

**Speaker:**Ualbai Umirbaev, PhD, Department of Mathematics, Wayne State University

**Title:**An effective criterion for Nielsen–Schreier varieties

**Abstract:**The classical Nielsen-Schreier Theorem states that every subgroup of a free group is free.

A variety of universal algebras is called Nielsen-Schreier if an analogue of this result holds.

It is well known that the variety of Lie algebras is Nielsen-Schreier.

I will talk about an attempt to describe varieties of Nielsen-Schreier algebras using the Grobner bases for operads.

This is joint work with V. Dotsenko.

## Contact

Department of Mathematics

313-577-2479

math@wayne.edu