Yet another Freiheitssatz: Mating finite groups with locally indicable ones

The main result includes as special cases on the one hand, the Gerstenhaber–Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, the Brodskii–Howie–Short theorem (1980–1984) generalising Magnus’s Freiheitssatz (1930).

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Published in:Glasgow mathematical journal 2023-05, Vol.65 (2), p.337-344
Main Authors: Klyachko, Anton A., Mikheenko, Mikhail A.
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Language:English
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Theorems
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description The main result includes as special cases on the one hand, the Gerstenhaber–Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, the Brodskii–Howie–Short theorem (1980–1984) generalising Magnus’s Freiheitssatz (1930).
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title Yet another Freiheitssatz: Mating finite groups with locally indicable ones
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