منابع مشابه
rational subsets of finite groups
we characterize the rational subsets of a finite group and discuss the relations to integral cayley graphs.
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This chapter is devoted to the study of rational subsets of groups, with particular em-phasis on the automata-theoretic approach to finitely generated subgroups of free groups. Indeed,Stallings’ construction, associating a finite inverse automaton with every such subgroup, inaugu-rated a complete rewriting of free group algorithmics, with connections to other fields such astopol...
متن کاملRational Subsets of Finite Groups
We characterize the rational subsets of a finite group and discuss the relations to integral Cayley graphs.
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Let G be a group. Neumann to answer a question of Paul Erdos proved that every infinite subset of G has two different comuting elements if and only if G is center-by-finite. In this paper, we deal with Erdoschr('39')s question in different aspect and we show that every infinite subset X of G has two different elements x and y such that x^y=1 if and only if the exterior center of G ihas finit...
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Let G be a group. A subset X of G is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in X. If |X| ≥ |Y | for any other set of pairwise non-commuting elements Y in G, then X is said to be a maximal subset of pairwise non-commuting elements. In this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2015
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-015-1084-2