**Title:** Two-variable equations in linear groups

**Speaker:** Professor Eugene Plotkin

**Speaker Info:** Bar Ilan University

**Brief Description:**

**Special Note**:

**Abstract:**

We will consider two different problems which lead to equations in linear groups. One is the Ore conjecture: every element in a finite non-cyclic simple group G is a (single) commutator.The second is the problem of characterizing finite solvable groups by finding a sequence of formulas e_n(x,y) such that a finite group G is solvable if and only if e_n(x,y) is an identity in G for some n.

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