class2017 Office Tara Group 4 2 2

The reason all coherent 2-groups with the same underlying weak 2-group are isomorphic is that we have defined a homomorphism of coherent 2-groups to be a weak monoidal functor,

Section 4 will be devoted to approximation results which allow us to overcome the difficulties which arise on time derivatives while in Section 5, we look at, as an application of

We give a Dehn–Nielsen type theorem for the homology cobordism group of homol- ogy cylinders by considering its action on the acyclic closure, which was defined by Levine in [12]

We study the theory of representations of a 2-group G in Baez-Crans 2- vector spaces over a field k of arbitrary characteristic, and the corresponding 2-vector spaces of

Thus no maximal subgroup of G/P has index co-prime to q and since G/P is supersolvable, this gives, by using a well known result of Huppert, that every maximal subgroup of G/P is

Abstract The polycirculant conjecture states that every transitive 2-closed permuta- tion group of degree at least two contains a nonidentity semiregular element, that is, a

called a Hecke polygon, which is an admissible fundamental domain for the group generated by the side pairings of it.. There is a correspondence between Hecke polygons and subgroups

This shows that although each group A n is algebraically compact (it embeds as a pure subgroup of the compact group Π ∞ 1 (Z/2)), the structural maps are not continuous (in the sense