dc.identifier.uri |
http://dx.doi.org/10.15488/17220 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/17348 |
|
dc.contributor.author |
Aivazidis, S.
|
|
dc.contributor.author |
Loukaki, M.
|
|
dc.contributor.author |
Sambale, B.
|
|
dc.date.accessioned |
2024-04-25T08:14:05Z |
|
dc.date.available |
2024-04-25T08:14:05Z |
|
dc.date.issued |
2024 |
|
dc.identifier.citation |
Aivazidis, S.; Loukaki, M.; Sambale, B.: Common transversals and complements in abelian groups. In: Journal of Algebraic Combinatorics 59 (2024), S. 581-595. DOI: https://doi.org/10.1007/s10801-024-01299-x |
|
dc.description.abstract |
Given a finite abelian group G and cyclic subgroups A, B, C of G of the same order, we find necessary and sufficient conditions for A, B, C to admit a common transversal for the cosets they afford. For an arbitrary number of cyclic subgroups, we give a sufficient criterion when there exists a common complement. Moreover, in several cases where a common transversal exists, we provide concrete constructions. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Dordrecht [u.a.] : Springer Science + Business Media B.V. |
|
dc.relation.ispartofseries |
Journal of Algebraic Combinatorics 59 (2024) |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
05D15 |
eng |
dc.subject |
05E16 |
eng |
dc.subject |
20D60 |
eng |
dc.subject |
Common complements |
eng |
dc.subject |
Finite abelian groups |
eng |
dc.subject |
Transversals |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Common transversals and complements in abelian groups |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1572-9192 |
|
dc.relation.issn |
0925-9899 |
|
dc.relation.doi |
https://doi.org/10.1007/s10801-024-01299-x |
|
dc.bibliographicCitation.volume |
59 |
|
dc.bibliographicCitation.firstPage |
581 |
|
dc.bibliographicCitation.lastPage |
595 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|