Add to ORKGAbstract. It is a well-known open problem since the 1970s whether a finitely generated perfect group can be normally generated by a single element or not. We prove that the topological version of this problem has an affirmative answer as long as we exclude infinite discrete quotients (which is probably a necessary restriction). 1
Let N be a normal subgroup of a finite group G. We prove that under certain (unavoidable) conditions...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
An element in a topological group is called an $\mathrm{FC}^-$-element if its conjugacy class has co...
We show that some derived L¹ full groups provide examples of non simple Polish groups with the topol...
Inspired by the fact that a compact topological group is hereditarily normal if and only if it is me...
It is shown that simplicity of a totally disconnected locally compact group G imposes (in the case w...
AbstractIt is shown that simplicity of a totally disconnected locally compact group G imposes (in th...
We present a contribution to the structure theory of locally compact groups. The emphasis is on comp...
This is a survey article on barely transitive groups. It also involves some recent results in the ca...
We study normal forms irT finitely generated groups from the geometric viewpoint of combings. We int...
We use the structure lattice, introduced in Part I, to undertake a systematic study of the class S c...
A topological group G is: (i) compactly generated if it contains a compact subset algebraically gene...
It is well known that locally compact groups are paracompact. We observe that this theorem can be ge...
AbstractApplying the continuum hypothesis, we construct a hereditarily separable and hereditarily no...
The notion of a topological group follows naturally from a combination of the properties of a group ...
Let N be a normal subgroup of a finite group G. We prove that under certain (unavoidable) conditions...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
An element in a topological group is called an $\mathrm{FC}^-$-element if its conjugacy class has co...
We show that some derived L¹ full groups provide examples of non simple Polish groups with the topol...
Inspired by the fact that a compact topological group is hereditarily normal if and only if it is me...
It is shown that simplicity of a totally disconnected locally compact group G imposes (in the case w...
AbstractIt is shown that simplicity of a totally disconnected locally compact group G imposes (in th...
We present a contribution to the structure theory of locally compact groups. The emphasis is on comp...
This is a survey article on barely transitive groups. It also involves some recent results in the ca...
We study normal forms irT finitely generated groups from the geometric viewpoint of combings. We int...
We use the structure lattice, introduced in Part I, to undertake a systematic study of the class S c...
A topological group G is: (i) compactly generated if it contains a compact subset algebraically gene...
It is well known that locally compact groups are paracompact. We observe that this theorem can be ge...
AbstractApplying the continuum hypothesis, we construct a hereditarily separable and hereditarily no...
The notion of a topological group follows naturally from a combination of the properties of a group ...
Let N be a normal subgroup of a finite group G. We prove that under certain (unavoidable) conditions...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
An element in a topological group is called an $\mathrm{FC}^-$-element if its conjugacy class has co...