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Št. zadetkov: 25
On overgroups of regular abelian p-groups
Edward Dobson
Izvirni znanstveni članek
Oznake: teorija grup;teorija grafov;Cayleyjev geaf;Abelova grupa;regularna grupa;▫$p$▫-grupa;group theory;graph theory;Cayley graph;abelian group;regular group;p-group;
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 sim ...
Leto: 2009 Vir: Univerza na Primorskem (UP)
Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
Edward Dobson
Izvirni znanstveni članek
Oznake: mathematics;graph theory;Cayley graph;abelian group;automorphism group;asymptotic;▫$p$▫-group;
We show that almost every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order that does not have automorphism gro ...
Leto: 2010 Vir: Univerza na Primorskem (UP)
The full automorphism group of Cayley graphs of ${\mathbb Z}_p\times{\mathbbZ}_{p^2}$
Edward Dobson
Izvirni znanstveni članek
Oznake: Cayley graph;abelian group;automorphism group;
The full automorphism group of Cayley graphs of ${mathbb Z}_ptimes{mathbbZ}_{p^2}$
Leto: 2012 Vir: Univerza na Primorskem (UP)
On the proof of a theorem of Pálfy
Edward Dobson
Izvirni znanstveni članek
Oznake: CI-group;Euler's phi function;
On the proof of a theorem of Pálfy
Leto: 2006 Vir: Univerza na Primorskem (UP)
Some non-normal Cayley digraphs of the generalized quaternion group of certain orders
Edward Dobson
Izvirni znanstveni članek
Oznake: non-normal Cayley digraph;generalized quaternion group;
Some non-normal Cayley digraphs of the generalized quaternion group of certain orders
Leto: 2003 Vir: Univerza na Primorskem (UP)
On automorphism groups of vertex-transitive graphs
Edward Dobson
Video in druga učna gradiva
Oznake: mathematics;graph theory
One of the most fundamental questions one can ask about a vertex-transitive graph is what is the full automorphism group Aut() of ? This is usually a difficult question, as is evidenced by determining Aut() should allow for the solution of many other problems concerning . For example, is edge-t ...
Leto: 2007 Vir: videolectures.net
Monomial isomorphisms of cyclic codes
Edward Dobson
Izvirni znanstveni članek
Oznake: cyclic code;monomial;permutation;isomorphism;equivalent;
Monomial isomorphisms of cyclic codes
Leto: 2015 Vir: Univerza na Primorskem (UP)
Some new groups which are not CI-groups with respect to graphs
Edward Dobson
Izvirni znanstveni članek
Oznake: Cayley graph;CI-group;isomorphism;
Leto: 2018 Vir: Univerza na Primorskem (UP)
On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic
Edward Dobson
Izvirni znanstveni članek
Oznake: Cayley isomorphism problem;Cayley graph;CI-group;
Leto: 2018 Vir: Univerza na Primorskem (UP)
Automorphism groups of Cayley digraphs of Zp3
Edward Dobson, István Kovács
Izvirni znanstveni članek
Oznake: Cayley digraph;automorphism group;
Automorphism groups of Cayley digraphs of Zp3
Leto: 2009 Vir: Univerza na Primorskem (UP)
Št. zadetkov: 25
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