𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the isomorphism problem for just-infinite groups

✍ Scribed by Robert C. Brigham


Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
414 KB
Volume
24
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

✦ Synopsis


The work for this paper was carried out partly at the Courant Institute of Mathematical Sciences under NSF Grant GP-12024. Reproduction in whole or in part is permitted for any purpose of the United States Government. Communicated through G. Baumslag.


πŸ“œ SIMILAR VOLUMES


The P-DNP Problem for Infinite Abelian G
✍ Christine Gaßner πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 123 KB

We consider a uniform model of computation for groups. This is a generalization of the Blum Shub Smale model over the additive group of real numbers. We show that the inequalities P{DNP and PQ{DNPQ hold for computations with or without parameters over arbitrary infinite abelian groups.

On finite groups with the cayley isomorp
✍ Li, Cai Heng; Praeger, Cheryl E.; Xu, Ming Yao πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 197 KB

Let G be a finite group, and let Cay(G, S) be a Cayley digraph of G. If, for all T βŠ‚ G, Cay(G, S) ∼ = Cay(G, T ) implies S Ξ± = T for some Ξ± ∈ Aut(G), then Cay(G, S) is called a CI-graph of G. For a group G, if all Cayley digraphs of valency m are CI-graphs, then G is said to have the m-DCI property;

On the Isomorphism Problem for Finite Ca
✍ C.H. Li; C.E. Praeger πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 187 KB

For a subset S of a group G such that 1 / ∈ S and S = S -1 , the associated Cayley graph Cay(G, S) is the graph with vertex set G such that {x, y} is an edge if and only if yx -1 ∈ S. Each Οƒ ∈ Aut(G) induces an isomorphism from Cay(G, S) to the Cayley graph Cay(G, S Οƒ ). For a positive integer m, th

On Finite Groups with the Cayley Isomorp
✍ Cai Heng Li πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 184 KB

For a positive integer m, a group G is said to have the m-DCI property if, for any Cayley digraphs Cay(G, S) and Cay(G, T ) of G of valency m (that is, |S| = |T | =m), Cay(G, S)$Cay(G, T ) if and only if S \_ =T for some \_ # Aut(G). This paper is one of a series of papers towards characterizing fin