Abelian Schur groups of odd order Full article
Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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Output data | Year: 2018, Volume: 15, Pages: 397-411 Pages count : 15 DOI: 10.17377/semi.2018.15.036 | ||||||
Tags | Schur rings, Schur groups, permutation groups | ||||||
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Abstract:
A nite 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 xC3 x Cp is Schur for any prime p. Together with earlier results, this completes a classication of the abelian Schur groups of odd order.
Cite:
Ponomarenko I.N.
, Ryabov G.K.
Abelian Schur groups of odd order
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.397-411. DOI: 10.17377/semi.2018.15.036 WOS OpenAlex
Abelian Schur groups of odd order
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.397-411. DOI: 10.17377/semi.2018.15.036 WOS OpenAlex
Dates:
Submitted: | Nov 8, 2017 |
Published print: | Apr 19, 2018 |
Identifiers:
Web of science: | WOS:000438412200036 |
OpenAlex: | W2766878649 |