Products of two groups containing cyclic subgroups of index at most 2

Products of two groups containing cyclic subgroups of index at most 2
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包含索引最多为 2 的循环子群的两个群的乘积

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
Y. Sysak
Y. Sysak
中科院分区:
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文献类型:
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作者:
B. Amberg;Y. Sysak

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本文证明了:任何具有子群A和B且每个子群的循环子群的指数至多为2的群G = AB是亚循环有限群。
Abstract.It is proved that every group of the form G = AB with subgroups A and B each of which has a cyclic subgroup of index at most 2 is metacyclicby-finite.