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

1 Цитирования (Scopus)

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	Siberian Electronic Mathematical Reports
Том	15
Состояние	Опубликовано - 1 янв 2018

Доступ к документу

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Abelian Schur groups of odd order». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Ponomarenko, I. N., & Ryabov, G. K. (2018). Abelian Schur groups of odd order. Siberian Electronic Mathematical Reports, 15, 397-411.

@article{1f4f2b20f9a749af9d8bd56bc4e513a0,

title = "Abelian Schur groups of odd order",

abstract = "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.",

keywords = "Permutation groups, Schur groups, Schur rings",

author = "Ponomarenko, {Ilia Nikolaevich} and Ryabov, {Grigory Konstantinovich}",

year = "2018",

month = jan,

day = "1",

language = "English",

volume = "15",

pages = "397--411",

journal = "Siberian Electronic Mathematical Reports",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

TY - JOUR

T1 - Abelian Schur groups of odd order

AU - Ponomarenko, Ilia Nikolaevich

AU - Ryabov, Grigory Konstantinovich

PY - 2018/1/1

Y1 - 2018/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=85058230424&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85058230424

VL - 15

SP - 397

EP - 411

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

ER -