### Equations in groups

Algebra and Geometry Seminar

2nd May 2018, 2:30 pm – 3:30 pm

Howard House, 4th Floor Seminar Room

The Diophantine Problem in group theory can be stated as: is it

algorithmically decidable whether an equation whose coefficients are

elements of a given group has at least one solution in that group?

The talk will be a survey on this topic, with emphasis on what is known

about solving equations in free groups. I will conclude with results concerning

the Diophantine Problem in virtually direct products.

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