• DOI:10.1007/BF01650530
Corpus ID: 120083990

An analogue of a theorem of Magnus

@article{Greendlinger1961AnAO,
  title={An analogue of a theorem of Magnus},
  author={M. Greendlinger},
  journal={Archiv der Mathematik},
  year={1961},
  volume={12},
  pages={94-96}
}

• M. Greendlinger
• Published 1961
• Mathematics
• Archiv der Mathematik

In [2], W. MAGNUS proved tha t the normal closure of a cyclic subgroup of a free group determines the generator of the cyclic subgroup up to an inversion and a conjugation. He used this result to show that every Nielsen automorphism of a group with a single defining relator maps this defining relator onto a free transform of itself or of its inverse. In the present note, the number of s~nmbols in the word W will be called the length of W and will be denoted by l(W). I am grateful to Professor… Expand