## Abstract A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this article, we prove that, except for the groups and **__C__**~**4**~, each Latin square formed f
Biembeddings of Abelian groups
โ Scribed by M. J. Grannell; M. Knor
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 198 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
Abstract
We prove that, with the single exception of the 2โgroup C, the Cayley table of each Abelian group appears in a face 2โcolorable triangular embedding of a complete regular tripartite graph in an orientable surface. ยฉ 2009 Wiley Periodicals, Inc. J Combin Designs 18: 71โ83, 2010
๐ SIMILAR VOLUMES
Let G be a finite elementary abelian p-group. Given a 2-cocycle โฃ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of โฃ. Let S be a 2 ## ลฝ . subgroup of G of index dividing p . Then we also count
In this paper the classification of ABELian groups in terms of affine completeness initiated by LAUSH and NOBAUER in [2] and continued by N~BAUER in [3] and [4] is completed. ## 1. Preliminaries. The word "group" will mean, throughout the paper, "ABELian group". If X is a subset of a group A. then
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