Groups assembled from free and direct products
β Scribed by Carl Droms; Brigitte Servatius; Herman Servatius
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 645 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Droms. C., B. Servatius and H. Servatius, Groups assembled from free and direct products, Discrete Mathematics 109 (1992) 69-75.
Let & be the collection of groups which can be assembled from infinite cyclic groups using the binary operations free and direct product. These groups can be described in several ways by graphs. The group (Z * Z) x (Z * Z) has been shown by 111 to have a rich subgroup structure. In this article we examine subgroups of .&-groups.
π SIMILAR VOLUMES
The aim of this paper is to study Hopf algebra extensions arising from semi-direct products of groups in terms of group cohomology. This enables us to compute and describe explicitly some groups of Hopf algebra extensions.
## Abstract In this article we study the product action of the direct product of automorphism groups of graphs. We generalize the results of Watkins [J. Combin Theory 11 (1971), 95β104], Nowitz and Watkins [Monatsh. Math. 76 (1972), 168β171] and W. Imrich [Israel J. Math. 11 (1972), 258β264], and w
In this article, we improve known results, and, with one exceptional case, prove that when k β₯ 3, the direct product of the automorphism groups of graphs whose edges are colored using k colors, is itself the automorphism group of a graph whose edges are colored using k colors. We have handled the ca