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On invertible terraces for non-abelian groups

Ollis, M. A. and Whitaker, Roger Marcus ORCID: 2007. On invertible terraces for non-abelian groups. Journal of Combinatorial Designs 15 (5) , pp. 437-447. 10.1002/jcd.20127

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We give several constructions for invertible terraces and invertible directed terraces. These enable us to give the first known infinite families of invertible terrraces, both directed and undirected, for non-abelian groups. In particular, we show that all generalized dicyclic groups of orders 24k + 4 and 24k + 20 have an invertible directed terrace and that all groups of the form A × G have an invertible terrace, where A is an (possibly trivial) abelian group of odd order and G is any one of: (i) a generalized dihedral group of order 12k + 2 or 12k + 10; (ii) a generalized dicyclic group of order 24k + 4 or 24k + 20; (iii) a non-abelian group of order n with 10 ≤ n ≤ 21; (iv) a non-abelian binary group of order n with 24 ≤ n ≤ 42. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 437–447, 2007

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: sequencing; invertible terrace; Latin squares
Publisher: Wiley
ISSN: 1063-8539
Last Modified: 24 Oct 2022 09:59

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