1. Regular maps with nilpotent automorphism groups
| Title | Regular maps with nilpotent automorphism groups |
|---|---|
| Author info | Aleksander Malnic, Roman Nedela, Martin Škoviera |
| Author | Malnič Aleksander (34%) |
| Co-authors | Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky Škoviera Martin (33%) |
| Source document | European Journal of Combinatorics. Vol. 33, no. 8 (2012), pp. 1974-1986. - London : Academic Press, 2012 |
| Keywords | matematika - mathematics grafy - charts - graphs regulárne mapy regular maps |
| Language | English |
| Country | Great Britian |
| systematics | 51 |
| Annotation | We study regular maps with nilpotent automorphism groups in detail. We prove that every nilpotent regular map decomposes into a direct product of maps H x K, where Aut (H) is a 2-group and K is a map with a single vertex and an odd number of semiedges. Many important properties of nilpotent maps follow from this canonical decomposition, including restrictions on the valency, covalency, and the number of edges. We also show that, apart from two well-defined classes of maps on at most two vertices and their duals, every nilpotent regular map has both its valency and covalency divisible by 4. Finally, we give a complete classification of nilpotent regular maps of nilpotency class 2. |
| Public work category | ADE |
| No. of Archival Copy | 28518 |
| Catal.org. | BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici |
| Database | xpca - PUBLIKAČNÁ ČINNOSŤ |
| References | PERIODIKÁ-Súborný záznam periodika |