Profinite groups with pronilpotent centralizers

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作者
Pavel Shumyatsky
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[1] University of Brasília,Department of Mathematics
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The article deals with profinite groups in which the centralizers are pronilpotent (CN-groups). It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CN-group, and let F be the maximal normal pronilpotent subgroup of G. It is shown that F is open and the structure of the finite quotient G/F is described in detail.
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页码:325 / 347
页数:22
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