JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 2, Pages 237 - 264
(August 2006)
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PROPERTY PRESERVING SUBGROUPS OF A GROUP
José ‰van Silva Ramos (Brazil) and Rudolf Maier (Brazil)
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Abstract: Motivated by some characterizations of the hypercenter of a finite group, we investigate in every group G, with respect to any subgroup closed group class its -preserver - a canonical characteristic subgroup, which coincides with the hypercenter of G when is the class of nilpotent groups and G is finite. We study general properties of discuss special properties and show the utility of the introduced concepts in the case of concrete classes. |
Keywords and phrases: canonical characteristic subgroups, hypercenter, nilpotency, FC-groups, local properties. |
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