A remark on the definability of the Fitting subgroup and the soluble radical
نویسنده
چکیده
Let G be an arbitrary group. We show that if the Fitting subgroup of G is nilpotent then it is definable. We show also that the class of groups whose Fitting subgroup is nilpotent of class at most n is elementary. We give an example of a group (arbitrary saturated) whose Fitting subgroup is definable but not nilpotent. Similar results for the soluble radical are given.
منابع مشابه
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ورودعنوان ژورنال:
- Math. Log. Q.
دوره 59 شماره
صفحات -
تاریخ انتشار 2013