One-Overlapped Factorizations of Non-abelian Groups

Document type:: Zeitschriftenaufsatz
Author(s):: Pace, Nicola
Non-TUM Co-author(s):: nein
Cooperation:: -
Title:: One-Overlapped Factorizations of Non-abelian Groups
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
Journal title:: Graphs and Combinatorics
Journal listet in FT50 ranking:: nein
Year:: 2018
Journal volume:: 34
Year / month:: 2018-11
Month:: Nov
Journal issue:: 6
Pages contribution:: 1459-1467
Fulltext / DOI:: doi:10.1007/s00373-018-1937-1
Publisher:: Springer
Publisher address:: Japan
Print-ISSN:: 1435-5914
Judgement review:: 0
Key publication:: Nein
Peer reviewed:: Ja
International:: Ja
Book review:: Nein
Commissioned:: not commissioned
Professional Journal:: Ja
Technology:: Nein
Interdisciplinarity:: Nein
Mission statement:: ;
Ethics and Sustainability:: Nein
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