On Schur p-Groups of odd order

Grigory Ryabov

doi:10.1142/S0219498817500451

On Schur p-Groups of odd order

Grigory Ryabov

Результат исследования: Научные публикации в периодических изданиях › статья

3 Цитирования (Scopus)

Аннотация

A finite group G is called a Schur group if any S-ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. We prove that the groups Z₃ × Z₃n, where n ≥ 1, are Schur. Modulo previously obtained results, it follows that every noncyclic Schur p-group, where p is an odd prime, is isomorphic to Z₃ × Z₃ × Z₃ or Z₃ × Z₃n, n ≥ 1.

Язык оригинала	английский
Номер статьи	1750045
Число страниц	29
Журнал	Journal of Algebra and its Applications
Том	16
Номер выпуска	3
DOI	https://doi.org/10.1142/S0219498817500451
Состояние	Опубликовано - 1 мар 2017

Доступ к документу

10.1142/S0219498817500451

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Цитировать

Ryabov, G. (2017). On Schur p-Groups of odd order. Journal of Algebra and its Applications, 16(3), [1750045]. https://doi.org/10.1142/S0219498817500451

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