Common transversals and complements in abelian groups

S. Aivazidis; M. Loukaki; B. Sambale

doi:10.48550/arXiv.2308.06559

Common transversals and complements in abelian groups

S. Aivazidis
, M. Loukaki^*
, B. Sambale

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

University of Crete

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	581-595
Seitenumfang	15
Fachzeitschrift	Journal of algebraic combinatorics
Jahrgang	59
Ausgabenummer	3
Elektronisch veröffentlicht (E-Pub)	24 Feb. 2024
DOIs	https://doi.org/10.48550/arXiv.2308.06559 https://doi.org/10.1007/s10801-024-01299-x
Publikationsstatus	Veröffentlicht - Mai 2024

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie
Diskrete Mathematik und Kombinatorik

Zugriff auf Dokument

10.48550/arXiv.2308.06559Lizenz: CC BY 4.0
10.1007/s10801-024-01299-xLizenz: CC BY 4.0

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Verknüpfung zur Publikation in Scopus

Dieses zitieren

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