Name
Title | ||
|---|---|---|
Embedding Theorems For Groups Presented Via Partial Automorphisms: A Generalization Of Semidirect Products And Hnn Extensions |
Abstract | ||
|---|---|---|
We examine a certain embedding problem for groups that have a presentation described by partial automorphisms, Semidirect products and HNN extensions have such a presentation. The embedding problem is closely related to systems of partial automorphisms, which are formalized by the concept of inverse semigroups. A necessary and sufficient condition for a group to be embedded in a certain sense is obtained by geometric methods using van Kampen diagrams. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1142/S0218196702000900 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Van Kampen diagrams, partial automorphisms, inverse semigroup actions, groupoids, trace products, E-unitary coextensions | Embedding problem,Discrete mathematics,Inverse,Automorphisms of the symmetric and alternating groups,Embedding,Algebra,Automorphism,Bass–Serre theory,HNN extension,Mathematics | Journal |
Volume | Issue | ISSN |
12 | 1-2 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Akihiro Yamamura | 1 | 96 | 13.29 |