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• W2964005387 abstract "Fix an equilateral triangle group Ti=〈a,b;ai,bi,(ab)i〉 with i≥6 arbitrary. Our main result is: for every presentation P of every countable group Q there exists an HNN-extension TP of Ti such that Out(TP)≅Q. We construct the HNN-extensions explicitly, and examples are given. The class of groups constructed have nice categorical and residual properties. In order to prove our main result we give a method for recognising malnormal subgroups of small cancellation groups, and we introduce the concept of “malcharacteristic” subgroups." @default.
• W2964005387 created "2019-07-30" @default.
• W2964005387 creator A5091386069 @default.
• W2964005387 date "2019-09-01" @default.
• W2964005387 modified "2023-10-16" @default.
• W2964005387 title "Every group is the outer automorphism group of an HNN-extension of a fixed triangle group" @default.
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• W2964005387 doi "https://doi.org/10.1016/j.aim.2019.06.009" @default.
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