University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > A Conjecture from 1986 about splittings of groups: its statement, potential generalizations, and Martin Dunwoody's proof

A Conjecture from 1986 about splittings of groups: its statement, potential generalizations, and Martin Dunwoody's proof

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Suppose that G is a group with a subgroup H and a subset B such that B=BH, neither B nor its complement is contained in a finite union HF of cosets of H, and for all g\in G, the symmetric difference of B and Bg is contained in a finite union of right cosets of H. Then G splits over a subgroup K that is contained in a finite union of cosets of H, either as a free product with amalgamation, or as an HNN extension.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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