3 citations · 7 across the 5 of their papers we have counts for
5 papers · 1 filter
Groups with a base property analogous to that of vector spaces
Paul Apisa, Benjamin Klopsch
A B-group is a group such that all its minimal generating sets (with respect to inclusion) have the same size. We prove that the class of finite B-groups is closed under taking quo…
A characterisation of uniform pro-p groups
Benjamin Klopsch, Ilir Snopce
Let p be a prime. Uniform pro-p groups play a central role in the theory of p-adic Lie groups. Indeed, a topological group admits the structure of a p-adic Lie group if and only if…
Representation growth and representation zeta functions of groups
Benjamin Klopsch
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to…
Pro-p groups with constant generating number on open subgroups
B. Klopsch, I. Snopce
Let p be a prime. We classify finitely generated pro-p groups G which satisfy d(H) = d(G) for all open subgroups H of G. Here d(H) denotes the minimal number of topological generat…
On w-maximal groups
Jon Gonzalez-Sanchez, Benjamin Klopsch
Let be a word, i.e. an element of the free group on generators . The verbal subgroup of a group is the subgrou…