ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
On the point stabilizers of transitive groups with non-self-paired suborbits of length 2
Marušič, Dragan ; Nedela, Roman
In our recent article a characterization of transitive permutation groups having a non-self-paired suborbit of length 2 (with respect to which the corresponding orbital graph is connected) was ...obtained in terms of their point stabilizers. As a consequence, elementary abelian groups were proved to be only possible abelian point stabilizers arising from such actions, and ▫$D_8$▫ was shown to be only nonabelian group of order 8 with the same property. Constructing of such group actions with point stabilizers isomorphic to ▫$D_8$▫ or to ▫$\mathbb Z_2^h$▫, ▫$h\ge 1$▫, were also given there. These results are extended here to include a more in depth analysis of the structure of point stabilizers of such group actions, resulting in a set of necessary conditions allowing us to obtain a restricted list of 19 possible candidates for point stabilizers of such group actions when the point stabilizers have order ▫$2^h$▫, ▫$h\le 8$▫. (For ▫$h\le 5$▫, this list gives a complete classification of such point stabilizers). Furthermore, a construction of a transitive permutation group action with a non-self-paired suborbit of length 2 and point stabilizer isomorphic to ▫$D_8 \times \mathbb Z_2^{h-3}$▫ is given for each ▫$h\ge 3$▫.
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.
