On split metacyclic groups

We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and |K| = exp G. Розглянуто достатнi умови для розщеплення метациклiчних груп, а саме, показа...

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Published in:Український математичний журнал
Date:2012
Main Authors: He-guo Liu, Yan Yang
Format: Article
Language:English
Published: Український математичний журнал 2012
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/165251
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On split metacyclic groups / He-guo Liu, Yan Yang // Український математичний журнал. — 2012. — Т. 64, № 10. — С. 1432-1437. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine