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http://dx.doi.org/10.4134/BKMS.2013.50.5.1753

CYCLIC SUBGROUP SEPARABILITY OF CERTAIN GRAPH PRODUCTS OF SUBGROUP SEPARABLE GROUPS  

Wong, Kok Bin (Institute of Mathematical Sciences University of Malaya)
Wong, Peng Choon (Institute of Mathematical Sciences University of Malaya)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1753-1763 More about this Journal
Abstract
In this paper, we show that tree products of certain subgroup separable groups amalgamating normal subgroups are cyclic subgroup separable. We then extend this result to certain graph product of certain subgroup separable groups amalgamating normal subgroups, that is we show that if the graph has exactly one cycle and the cycle is of length at least four, then the graph product is cyclic subgroup separable.
Keywords
cyclic subgroup separability; graph products; subgroup separable; polycyclic-by-finite groups;
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Times Cited By KSCI : 4  (Citation Analysis)
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