Študiramo direktni produkt grup avtomorfizmov digrafov, pri čemer grupe avtomorfizmov obravnavamo kot permutacijske grupe, ki delujejo na množicah vozlišč. Direktni produkt permutacijskih grup ▫$(A, ...V ) \times (B, W)$▫ je grupa ▫$(A \times B, V \times W)$▫, ki deluje na kartezičnem produktu ustreznih množic vozlišč. Pokažemo, da je direktni produkt grup avtomorfizmov dveh digrafov spet grupa avtomorfizmov digrafa razen v primeru neskončne družine permutacijskih grup ▫$S_n \times S_n$▫, ▫$n \ge 2$▫, ter še štirih drugih permutacijskih grup in sicer ▫$D_4 \times S_2$▫, ▫$D_4 \times D_4$▫, ▫$S_4 \times S_2 \times S_2$▫ in ▫$C_3 \times C_3$▫. To dokažemo tako, da za vsako obravnavano množico pogojev na grupah ▫$A$▫ in ▫$B$▫ navedemo ali zgradimo specificen produkt digrafov. Če ta produkt uporabimo na digrafih, ki pripadata grupama ▫$A$▫ in ▫$B$▫, dobimo digraf, katerega grupa avtomorfizmov je direktni produkt grup ▫$A$▫ in ▫$B$▫.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
PDF
