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Title: On overgroups of regular abelian p-groups Dobson, Edward (Author) http://amc.imfm.si/index.php/amc/article/viewFile/70/62 English Not categorized 1.01 - Original Scientific Article IAM - Andrej Marušič Institute 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. group theory, graph theory, Cayley graph, abelian group, regular group, p-group 2009 str. 59-76 Vol. 2, no. 1 1855-3966 512.54:519.17 15159641 1770 78 Document is not linked to any category.

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## Secondary language

Language: English teorija grup, teorija grafov, Cayleyjev geaf, Abelova grupa, regularna grupa, ▫$p$▫-grupa