On endomorphisms of profinite groups

On endomorphisms of profinite groups
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论有限群的自同态

DOI:
10.4171/ggd/238
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发表时间:
2011
期刊:
Groups, Geometry, and Dynamics
影响因子:
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通讯作者:
Colin D. Reid
Colin D. Reid
中科院分区:
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文献类型:
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作者:
Colin D. Reid

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我们得到了一些一般的限制连续自同态的profinite群G的假设下,G只有许多开放的子群的每一个指标(假设自动成立,例如,如果G是numerous生成)。特别是,鉴于这样一个
We obtain some general restrictions on the continuous endomorphisms of a profinite group G under the assumption that G has only finitely many open subgroups of each index (an assumption which automatically holds, for instance, if G is finitely generated). In particular, given such a