One-Overlapped Factorizations of Non-abelian Groups

Titel:: One-Overlapped Factorizations of Non-abelian Groups
Dokumenttyp:: Zeitschriftenaufsatz
Autor(en):: Pace, Nicola
Nicht-TUM Koautoren:: nein
Kooperation:: -
Abstract:: One-overlapped factorizations of finite groups were introduced by Shinohara (Linear Algebra Appl. 436(4):850--857, 2012) for constructing a new class of thin Lehman matrices. However, all known examples and constructions arise from cyclic or dihedral groups. In this paper, we prove the existence of one-overlapped factorizations of non-abelian groups that are not dihedral and describe a simple construction. The corresponding incidence structures and Lehman matrices are also considered.
Intellectual Contribution:: Discipline-based Research
Zeitschriftentitel:: Graphs and Combinatorics
Journal gelistet in FT50 Ranking:: nein
Jahr:: 2018
Band / Volume:: 34
Jahr / Monat:: 2018-11
Monat:: Nov
Heft / Issue:: 6
Seitenangaben Beitrag:: 1459-1467
Volltext / DOI:: doi:10.1007/s00373-018-1937-1
Verlag / Institution:: Springer
Verlagsort:: Japan
Print-ISSN:: 1435-5914
Urteilsbesprechung:: 0
Key publication:: Nein
Peer reviewed:: Ja
International:: Ja
Book review:: Nein
commissioned:: not commissioned
Professional Journal:: Ja
Technology:: Nein
Interdisziplinarität:: Nein
Leitbild:: ;
Ethics und Sustainability:: Nein
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