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Abelian Schur groups of odd order Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
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
Authors Ponomarenko I.N. 1 , Ryabov G.K. 2,3
Affiliations
1 St.Petersburg Department of the Steklov Mathematical Institute
2 Sobolev Institute of Mathematics
3 Novosibirsk State University

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 classi cation 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
Dates:
Submitted: Nov 8, 2017
Published print: Apr 19, 2018
Identifiers:
Web of science: WOS:000438412200036
OpenAlex: W2766878649
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