An analogue of a theorem of Magnus

  title={An analogue of a theorem of Magnus},
  author={M. Greendlinger},
  journal={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
Infinite presentability of groups and condensation
On mathematical contributions of Paul E. Schupp
A Survey of Small Cancellation Theory