Partitions and other coverings of finite groups. (Q1409634)

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scientific article; zbMATH DE number 1993655
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Partitions and other coverings of finite groups.
scientific article; zbMATH DE number 1993655

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    Partitions and other coverings of finite groups. (English)
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    16 October 2003
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    Subgroups \(H_1,H_2,\dots\) of a group \(G\) form a partition of \(G\) if every \(g\neq 1\) in \(G\) lies in precisely one \(H_i\). The author gives a detailed historical survey of the theory of the partitions of finite groups from its beginnings in the early 1900s. There is a bibliography of 33 items.
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    group partitions
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    Frobenius groups
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    groups of Lie type
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    \(p\)-groups
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    group coverings
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