On overgroups of regular abelian p-groups

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Naslov:	On overgroups of regular abelian p-groups
Avtorji:	ID Dobson, Edward (Avtor)
Datoteke:	http://amc.imfm.si/index.php/amc/article/viewFile/70/62
Jezik:	Angleški jezik
Vrsta gradiva:	Delo ni kategorizirano
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	IAM - Inštitut Andrej Marušič
Opis:	Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup ▫$P$▫ is abelian od rank ▫$t$▫. Weshow that if ▫$p > 2^{t-1}$▫, then ▫$G$▫ has a normal subgroup that is a direct product of ▫$t$▫ permutation groups of smaller degree that are either cyclic or doubly-transitive simple groups. As a consequence, we determine the full automorphism group of a Cayley diagraph of an abelian group with rank two such that the Sylow ▫$p$▫-subgroup of the full automorphism group is abelian.
Ključne besede:	group theory, graph theory, Cayley graph, abelian group, regular group, p-group
Leto izida:	2009
Št. strani:	str. 59-76
Številčenje:	Vol. 2, no. 1
PID:	20.500.12556/RUP-4301
ISSN:	1855-3966
UDK:	512.54:519.17
COBISS.SI-ID:	15159641
Datum objave v RUP:	15.10.2013
Število ogledov:	3229
Število prenosov:	157
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