Journal of Lie Theory Vol. 15, No. 1, pp. 235–248 (2005) 

Topologically Locally Finite Groups with a CCSubgroupZvi Arad and Wolfgang HerfortZvi AradDepartment of Mathematics, Bar–Ilan University, Ramat–Gan Department of Computer Science and Mathematics and Netanya Academic College Netanya, Israel aradtzvi@macs.biu.ac.il, and Wolfgang Herfort Institute of Analysis and Scientific Computation University of Technology Vienna, Austria wolfgang.herfort@tuwien.ac.at Abstract: A proper subgroup $M$ of a finite group $G$ is called a CCsubgroup of $G$ if the centralizer $C_G(m)$ of every $m\in M^{#}=M\setminus\{1\}$ 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 "Classification of Finite Groups with a CCsubgroup, Communications in Algebra 32 (2004), 2087–2098" the present authors, having taken all this work into account, classified all finite groups containing a CCsubgroup. \endgraf As an application, in the present paper, we classify totally disconnected topologically locally finite groups, containing a topological analogue of a CCsubgroup. Classification (MSC2000): 22D05, 20E18, 20F50 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Aug 2004. This page was last modified: 4 Jun 2010.
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