Abelian Schur groups of odd order

Ilia Nikolaevich Ponomarenko; Grigory Konstantinovich Ryabov

Abelian Schur groups of odd order

Ilia Nikolaevich Ponomarenko, Grigory Konstantinovich Ryabov

Кафедра высшей математики ФФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

A finite group G is called a Schur group if any Schur ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. It is proved that the group C₃ × C₃ × C_p is Schur for any prime p. Together with earlier results, this completes a classification of the abelian Schur groups of odd order.

Язык оригинала	английский
Страницы (с-по)	397-411
Число страниц	15
Журнал	Сибирские электронные математические известия
Том	15
Состояние	Опубликовано - 1 янв 2018

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1.01 МАТЕМАТИКА

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Abelian Schur groups of odd order. / Ponomarenko, Ilia Nikolaevich; Ryabov, Grigory Konstantinovich.

В: Сибирские электронные математические известия, Том 15, 01.01.2018, стр. 397-411.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Ponomarenko, Ilia Nikolaevich

AU - Ryabov, Grigory Konstantinovich

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N2 - A finite group G is called a Schur group if any Schur ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. It is proved that the group C3 × C3 × Cp is Schur for any prime p. Together with earlier results, this completes a classification of the abelian Schur groups of odd order.

AB - A finite group G is called a Schur group if any Schur ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. It is proved that the group C3 × C3 × Cp is Schur for any prime p. Together with earlier results, this completes a classification of the abelian Schur groups of odd order.

KW - Permutation groups

KW - Schur groups

KW - Schur rings

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JO - Сибирские электронные математические известия

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