173 citations
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math.GR2009
On Dehn functions of infinite presentations of groups
R. I. Grigorchuk, S. V. Ivanov
We introduce two new types of Dehn functions of group presentations which seem more suitable (than the standard Dehn function) for infinite group presentations and prove the fundam…
math.GR2003
Non-hopfian relatively free groups
S. V. Ivanov, A. M. Storozhev
To solve problems of Gilbert Baumslag and Hanna Neumann, posed in the 1960's, we construct a nontrivial variety of groups all of whose noncyclic free groups are non-hopfian.
math.GR2002
Embedding free Burnside groups in finitely presented groups
S. V. Ivanov
We construct an embedding of a free Burnside group of odd and rank in a finitely presented group with some special properties. The main application of…