منابع مشابه
The Cyclic Groups with them-DCI Property
For a finite group G and a subset S of G which does not contain the identity of G , let Cay(G , S) denote the Cayley graph of G with respect to S. If , for all subsets S , T of G of size m , Cay(G , S) Х Cay(G , T) implies S ␣ ϭ T for some ␣ Aut(G) , then G is said to have the m-DCI property. In this paper , a classification is presented of the cyclic groups with the m-DCI property , which is...
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This paper studies the problem of testing if an input (Γ, ◦), where Γ is a finite set of unknown size and ◦ is a binary operation over Γ given as an oracle, is close to a specified class of groups. Friedl et al. [Efficient testing of groups, STOC’05] have constructed an efficient tester using poly(log |Γ|) queries for the class of abelian groups. We focus in this paper on subclasses of abelian ...
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Let G be a finite group. A subset S of G not the identity element 1 of G called C I -subset (C( stands for isomorphism"), if for any isomorphism D(G, S) ~ D(G, T), there is f AutG such that T = f(S). G is called a DCI-group if every subset of G {I} is a CI-subset. G is called a GCl-group or simply a C I -group if every inverse-closed subset of G {I} is a CI-subset. (DCI and GCl stands for "digr...
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A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1997
ISSN: 0195-6698
DOI: 10.1006/eujc.1996.0130