Arad, Zvi; Herfort, Wolfgang Topologically locally finite groups with a CC-subgroup. (English) Zbl 1062.22008 J. Lie Theory 15, No. 1, 235-248 (2005). Let \(G\) be a finite group. A proper subgroup \(M\) of \(G\) is called a CC-subgroup of \(G\) if \(C_G(m)\subseteq M\) for every non-identity \(m\in M\). Although a few authors worked on the classification of finite groups having a CC-subgroup, their final classification was obtained by Z. Arad and W. Herfort [Commun. Algebra 32, No. 6, 2087–2098 (2004; Zbl 1070.20023)]. In the paper under review, the authors classify totally disconnected topologically finite groups containing a topological analogue of a CC-subgroup. Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 22D05 General properties and structure of locally compact groups 20E18 Limits, profinite groups 20F50 Periodic groups; locally finite groups Keywords:CC-subgroup; prime graph; compactness conditions; locally compact groups Citations:Zbl 1070.20023 PDFBibTeX XMLCite \textit{Z. Arad} and \textit{W. Herfort}, J. Lie Theory 15, No. 1, 235--248 (2005; Zbl 1062.22008) Full Text: EuDML