On separable abelian p-groups Full article
| Journal |
Ars Mathematica Contemporanea
ISSN: 1855-3966 , E-ISSN: 1855-3974 |
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| Output data | Year: 2019, Volume: 17, Number: 2, Pages: 467-479 Pages count : 13 DOI: 10.26493/1855-3974.1892.78f | ||||
| Tags | Isomorphisms, Schur rings, p-groups | ||||
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Abstract:
An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.
Cite:
Ryabov G.
On separable abelian p-groups
Ars Mathematica Contemporanea. 2019. V.17. N2. P.467-479. DOI: 10.26493/1855-3974.1892.78f WOS Scopus OpenAlex
On separable abelian p-groups
Ars Mathematica Contemporanea. 2019. V.17. N2. P.467-479. DOI: 10.26493/1855-3974.1892.78f WOS Scopus OpenAlex
Dates:
| Submitted: | Dec 29, 2018 |
| Accepted: | Apr 3, 2019 |
| Published online: | Nov 13, 2019 |
Identifiers:
| Web of science: | WOS:000496417700008 |
| Scopus: | 2-s2.0-85076237421 |
| OpenAlex: | W3099743845 |