Topologically locally finite groups with a CC-subgroup

Zvi Arad, Wolfgang Herfort

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1 Scopus citations


A proper subgroup M of a finite group G is called a CC-subgroup of G if the centralizer CG(m) of every m ε M#=M \{1} is contained in M. Such finite groups had been partially classified by S. WILLIAMS, A. S. KONDRAT'IEV, N. IIYORI and H. YAMAKI, M. SUZUKI, W. FEIT and J.G. THOMPSON, M. HERZOG, Z. ARAD, D. CHILLAG and others. In [6] the present authors, having taken all this work into account, classified all finite groups containing a CC-subgroup. As an application, in the present paper, we classify totally disconnected topologically locally finite groups, containing a topological analogue of a CC-subgroup.

Original languageEnglish
Pages (from-to)235-248
Number of pages14
JournalJournal of Lie Theory
Issue number1
StatePublished - 2005


  • CC-subgroups
  • Compactness conditions
  • Locally compact groups
  • Prime graph


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