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Title:

One-Overlapped Factorizations of Non-abelian Groups

Document type:
Zeitschriftenaufsatz
Author(s):
Pace, Nicola
Non-TUM Co-author(s):
nein
Cooperation:
-
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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