1 citations · 1 across the 4 of their papers we have counts for
4 papers
On a construction of A. Lucchini
Colin D. Reid
We show that the group constructed in the 2004 paper 'A 2-generated just-infinite profinite group which is not positively finitely generated' by A. Lucchini is in fact hereditarily…
On (hereditarily) just infinite profinite groups that are not virtually pro-p
Colin D. Reid
A profinite group G is just infinite if every non-trivial closed normal subgroup of G is of finite index, and hereditarily just infinite if every open subgroup is just infinite. He…
The generalised Fitting subgroup of a profinite group
Colin Reid
The generalised Fitting subgroup of a finite group is the group generated by all subnormal subgroups that are either nilpotent or quasisimple. The importance of this subgroup in fi…
A problem in the Kourovka notebook concerning the number of conjugacy classes of a finite group
Colin Reid
In this paper, we consider Problem 14.44 in the Kourovka notebook, which is a conjecture about the number of conjugacy classes of a finite group. While elementary, this conjecture…