… In Section 2 we discuss second order Dehn functions of groups. In Section 3.1 we discuss
the Squier complex of a monoid presentation and the notion of finite derivation type of a …

… groups of type F3 with H ::;:;; G. In Section 4 we show that word … groups have linear second
order Dehn function. (The proof of this relies on a new characterization of hyperbolic groups …

… second homotopy module of a finitely presented group of type F$. We define the second
higher order Dehn functions … We show that the second order Dehn function of groups of type F3 …

… generates a few interesting problems which we state for two Dehn functions f2(x) and f0(x). …
if the Dehn 2-function of a finite presentation of a group G is subquadratic, then the group G is …

… out calculations of second order Dehn functions for some classes of groups and some …
function. We show (Corollary 2.4) that this is also true for the second order Dehn function of G. …

… the Dehn function of a free product—or an amalgamation or HNN extension along a finite
group… Our aim is to show that the type of function only depends on the fundamental group. We …

… plane, gives us the group diagram of the second kind for our infinite group. The … a group
diagram of the second kind to one of the first kind, by the dualisation process we used in the first …

… We then obtain the group diagram of the second kind for the finite group in the form of a …
By dualisation we can convert this group diagram of the second kind into one of the first kind …

… Given a finitely presented group H, finitely generated subgroup B of H, and a … Dehn function
of the corresponding HNN-extension G = (H, t | t−1Bt = ψ(B)) in terms of the Dehn function of …

… Dehn complexes and provides the link connecting Dehn functions of CW-complexes to Dehn
functions of groups… Second order Dehn functions of ®nitely presented groups and monoids. …