Abstract
The classical results of Magnus on one-relator groups (such as the Freiheitssatz and the solvability of the generalized word problem for Magnus subgroups) are generalized to some finitely presented groups whose relators are constructed inductively. The diagrammatic asphericity of such group presentations is also proven.
Original language | English (US) |
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Pages (from-to) | 113-121 |
Number of pages | 9 |
Journal | Journal of Pure and Applied Algebra |
Volume | 159 |
Issue number | 1 |
DOIs | |
State | Published - May 8 2001 |
Keywords
- 20F06
- 20F32
- Primary 20F05
- Secondary 57M20
ASJC Scopus subject areas
- Algebra and Number Theory