The automorphism tower problem II

The automorphism tower problem II
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自同构塔问题二

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发表时间:
1985
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影响因子:
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通讯作者:
S. Thomas
S. Thomas
中科院分区:
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文献类型:
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作者:
S. Thomas

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证明了基数为κ的无限无中心群G的自同构塔终止于小于(2κ)+步.我们还证明了正则基数为κ的无限无中心群G的自同构塔实际上终止于小于2κ步的情形与ZFC是一致的。
We prove that the automorphism tower of every infinite centreless groupG of cardinality κ terminates in less than (2κ)+ steps. We also show that it is consistent withZFC that the automorphism tower of every infinite centreless groupG of regular cardinality κ actually terminates in less than 2κ steps.