Abstract
This chapter describes the theory of equations over groups, and introduces connections between algebriac groups and complexity classes uncovered by Thérien and his co-workers. The ability to represent solutions to certain equations makes a group “universal” for these classes, and we ponder exactly what obstructs solvable groups from being universal.
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© 2013 Springer-Verlag Berlin Heidelberg
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Lipton, R.J., Regan, K.W. (2013). Denis Thérien: Solvable Groups. In: People, Problems, and Proofs. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41422-0_43
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DOI: https://doi.org/10.1007/978-3-642-41422-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41421-3
Online ISBN: 978-3-642-41422-0
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