1 citations · 1 across the 12 of their papers we have counts for
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Dependence over subgroups of free groups
Amnon Rosenmann, Enric Ventura Capell
Given a finitely generated subgroup of a free group , we present an algorithm which computes , such that the set of elements , for which there e…
On the intersection of subgroups in free groups: echelon subgroups are inert
Amnon Rosenmann
A subgroup of a free group is called inert in if for every the rank of the intersection of with is no grater than the rank of . In this paper we expa…
The normalized cyclomatic quotient associated with presentations of finitely generated groups
Amnon Rosenmann
Given the Cayley graph of a finitely generated group , with respect to a presentation with generators, the quotient of the rank of the fundamental group of subgraphs o…
When Schrier transversals grow wild
Amnon Rosenmann
Schreier formula for the rank of a subgroup of finite index of a finitely generated free group is generalized to an arbitrary (even infinitely generated) subgroup through t…
Cogrowth and essentiality in groups and algebras
Amnon Rosenmann
The cogrowth of a subgroup is defined as the growth of a set of coset representatives which are of minimal length. A subgroup is essential if it intersects non-trivially every non-…