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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Bibliographic Details
Published in:Glasgow mathematical journal 2023-05, Vol.65 (2), p.337-344
Main Authors: Klyachko, Anton A., Mikheenko, Mikhail A.
Format: Article
Language:English
Subjects:
Theorems
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Summary: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).
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089522000349