• Corpus ID: 118401670

A Note on Invariantly Finitely $L$-Presented Groups

  title={A Note on Invariantly Finitely \$L\$-Presented Groups},
  author={Ren{\'e} Hartung},
  journal={arXiv: Group Theory},
In the first part of this note, we introduce Tietze transformations for $L$-presentations. These transformations enable us to generalize Tietze's theorem for finitely presented groups to invariantly finitely $L$-presented groups. Moreover, they allow us to prove that `being invariantly finitely $L$-presented' is an abstract property of a group which does not depend on the generating set. In the second part of this note, we consider finitely generated normal subgroups of finitely presented… 
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