16 citations · 24 across the 7 of their papers we have counts for
9 papers
Metabelianisations of finitely presented groups
Ralph Strebel
In this article, I study some classes of finitely presented groups with the aim of finding out whether the maximal metabelian quotients of the members of these classes admit finite…
A converse to Schreier's index-rank formula
Ralph Strebel
In "Subgroups of free profinite groups and large subfields of Q" (Israel J. Math. 39 (1981), no. 1-2, pages 25-45; MR 617288) A. Lubotzky and L. van den Dries raise the question wh…
Groups of PL-homeomorphisms admitting non-trivial invariant characters
Daciberg L. Gonçalves, Parameswaran Sankaran, Ralph Strebel
We show that several classes of groups G of PL-homeomorphisms of the real line admit non-trivial homomorphisms from G to the additive group of reals that are fixed by every automor…
Sigma 1 of PL-homeomorphism groups
Ralph Strebel
I survey the known results about the invariant Sigma 1 of groups of PL-homeomorphisms of a compact interval and supplement them with new results about Sigma 1 of PL-homeomorphism g…
On Groups of PL-homeomorphisms of the Real Line
Robert Bieri, Ralph Strebel
Richard J. Thompson invented his group F in the 60s; it is a group full of surprises: it has a finite presentation with 2 generators and 2 relators, and a derived group that is sim…
Notes on the Sigma invariants
Ralph Strebel
Memoir on the Sigma invariants and their applications, version 2
A sufficient condition for finite presentability of abelian-by-nilpotent groups
Ralph Strebel
A recipe for obtaining finitely presented abelian-by-nilpotent groups is given. It relies on a geometric procedure that generalizes the construction of finitely presented metabelia…
Fitting quotients of finitely presented abelian-by-nilpotent groups
J. R. J. Groves, Ralph Strebel
We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.
Infinite presentability of groups and condensation
Robert Bieri, Yves de Cornulier, Luc Guyot +1
We describe various classes of infinitely presented groups that are condensation points in the space of marked groups. A well-known class of such groups consists of finitely genera…