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SEMINAR: Groups and Combinatorics Seminar: Solving equations in free groups and free monoids with constraints

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Today's date is Tuesday, December 01, 2020
Groups and Combinatorics Seminar: Solving equations in free groups and free monoids with constraints Other events...
Time and place: 15:00 Friday 22 May in Weatherburn LT.

Speaker: Murray Elder (University of Newcastle)

Title: Solving equations in free groups and free monoids with constraints.

Abstract: My talk will give some details of the proof of our result - that the set of all solutions to an equation over a free group or free monoid has a simple description encoded by a finite graph, that can be constructed in space O(n log n).

- reduction from an equation over a free group to an equation over a free monoid with involution with constraints

- extended equations and partial commutation

- construction of the finite graph encoding all solutions

- two propositions: any path in the graph from an initial to final vertex is a solution; and any solution is realised by a finite path in the graph from an initial to final vertex

- algorithm to prove the second proposition - block and pair compression. This is joint work with Laura Ciobanu, Neuchatel and Volker Diekert, Stuttgart.
Contact Gabriel Verret <[email protected]>
Start Fri, 22 May 2015 15:00
End Fri, 22 May 2015 16:00
Submitted by Gabriel Verret <[email protected]>
Last Updated Tue, 19 May 2015 09:15
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