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Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).

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Finitely presented group in which every element is conjugate to its square

One is naturally led to consider the simple case, and I wonder if Graham Higman's 1951 examples might suffice. In J. Lond. Math. Soc. 26 (1951), 61-64, Higman gives examples of groups presented using …
Eric Moorhouse's user avatar