Name
Title | ||
|---|---|---|
2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs |
Abstract | ||
|---|---|---|
We classify those 2-groups G which factorise as a product of two disjoint cyclic subgroups A and B, transposed by an automorphism of order 2. The case where G is metacyclic having been dealt with elsewhere, we show that for each e ≥ 3 there are exactly three such non-metacyclic groups G with |A| = |B| = 2 e, and for e = 2 there is one. These groups appear in a classification by Berkovich and Janko of 2-groups with one non-metacyclic maximal subgroup; we enumerate these groups, give simpler presentations for them, and determine their automorphism groups. Copyright © 2013 DMFA Slovenije. |
Year | DOI | Venue |
|---|---|---|
2013 | null | Ars Math. Contemp. |
Keywords | Field | DocType |
complete bipartite graph,product of cyclic groups,regular map | Discrete mathematics,Topology,Complete bipartite graph,Combinatorics,Disjoint sets,Cyclic group,Automorphism,Bipartite graph,Maximal subgroup,Regular map,Mathematics | Journal |
Volume | Issue | ISSN |
6 | 1 | 18553974 |
Citations | PageRank | References |
1 | 0.36 | 5 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shao-Fei Du | 1 | 142 | 15.18 |
| Gareth A. Jones | 2 | 116 | 23.18 |
| JinHo Kwak | 3 | 2 | 2.06 |
| Roman Nedela | 4 | 392 | 47.78 |
| Martin Škoviera | 5 | 427 | 54.90 |