๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Biembeddings of Abelian groups

โœ 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

No coin nor oath required. For personal study only.

โœฆ Synopsis


Abstract

We prove that, with the single exception of the 2โ€group C, the Cayley table of each Abelian group appears in a face 2โ€colorable triangular embedding of a complete regular tripartite graph in an orientable surface. ยฉ 2009 Wiley Periodicals, Inc. J Combin Designs 18: 71โ€“83, 2010


๐Ÿ“œ SIMILAR VOLUMES


Biembedding Abelian groups with mates ha
โœ M. J. Grannell; M. Knor ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 157 KB

## 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

Projective Representations of Abelian Gr
โœ R.J Higgs ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

Let G be a finite elementary abelian p-group. Given a 2-cocycle โฃ 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 โฃ. Let S be a 2 ## ลฝ . subgroup of G of index dividing p . Then we also count

Intuitionistic Free Abelian Groups
โœ D. van Dalen; F. J. De Vries ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 443 KB
Affine complete Abelian groups
โœ K. Kaarli ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 258 KB

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

On Abelian Subgroups ofp-Groups
โœ Yakov Berkovich ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

We generalize and present simplified proofs almost all elementary lemmas from Section 8 of the Odd Order Paper. In many places we use Hall's enumeration principle and other simple combinatorial arguments. A number of related results are proved as well. Some open questions are posed. แฎŠ 1998 Academic