A characterizing property of CP-groups

A. A. Buturlakin; R. Shen; W. Shi

doi:10.1134/S0037446617030041

A characterizing property of CP-groups

A. A. Buturlakin, R. Shen, W. Shi

Кафедра алгебры и математической логики ММФ

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

Аннотация

Let G be a finite group. It is proved that if, for every prime p, the number of nonidentity p-elements of G is divisible by the p′-part of |G|, then all element orders of G are prime powers.

Язык оригинала	английский
Страницы (с-по)	405-407
Число страниц	3
Журнал	Siberian Mathematical Journal
Том	58
Номер выпуска	3
DOI	https://doi.org/10.1134/S0037446617030041
Состояние	Опубликовано - 1 мая 2017

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10.1134/S0037446617030041

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title = "A characterizing property of CP-groups",

abstract = "Let G be a finite group. It is proved that if, for every prime p, the number of nonidentity p-elements of G is divisible by the p′-part of |G|, then all element orders of G are prime powers.",

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AB - Let G be a finite group. It is proved that if, for every prime p, the number of nonidentity p-elements of G is divisible by the p′-part of |G|, then all element orders of G are prime powers.

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KW - finite groups

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M3 - Article

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JO - Siberian Mathematical Journal

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A characterizing property of CP-groups

Аннотация

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