2 citations · 6 across the 8 of their papers we have counts for
11 papers
The structure of finite groups invariably generated by two elements of prime order
Inna Capdeboscq, Chris Parker
A group is invariably generated by two elements and if for all . This paper provides a structural description of finite groups inv…
Cocompact Lattices in Locally Pro--complete Rank 2 Kac-Moody Groups
Inna Capdeboscq, Katerina Hristova, Dmitriy Rumynin
We initiate an investigation of lattices in a new class of locally compact groups, so called locally pro--complete Kac-Moody groups. We discover that in rank 2 their cocompact l…
Kac-Moody Groups and Completions
Inna Capdeboscq, Dmitriy Rumynin
In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigati…
Presentations of affine Kac-Moody groups
Inna Capdeboscq, Karina Kirkina, Dmitriy Rumynin
How many generators and relations does need? In this paper we exhibit its explicit presentation with generators and relations. W…
Subgroup Growth in Some Profinite Chevalley Groups
Inna Capdeboscq, Karina Kirkina, Dmitriy Rumynin
In this article we improve the known uniform bound for subgroup growth of Chevalley groups over . We introduce a new parameter, the ridgeline number…
Presentations: from Kac-Moody groups to profinite and back
Inna Capdeboscq, Alexander Lubotzky, Bertrand Rémy
We go back and forth between, on the one hand, presentations of arithmetic and Kac-Moody groups and, on the other hand, presentations of profinite groups, deducing along the way ne…