38 citations · 108 across the 31 of their papers we have counts for
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math.GR2009★ 12 cited
On the structure of just infinite profinite groups
Colin Reid
A profinite group is just infinite if every closed normal subgroup of is of finite index. We prove that an infinite profinite group is just infinite if and only if, for eve…
math.GR2009★ 3 cited
Subgroups of finite index and the just infinite property
Colin Reid
A residually finite (profinite) group is just infinite if every non-trivial (closed) normal subgroup of is of finite index. This paper considers the problem of determining…
math.GR2009★ 1 cited
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…