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الفعل
أَبْدَأَ ; أَدَّى إلى ; أَنْشَأَ ; أَهَلَّ ; أَوْجَدَ ; اِبْتَدَأَ ; اِسْتَفْتَحَ ; اِسْتَهَلَّ ( الشَّيْءُ ) ; اِفْتَتَحَ ; بَدَأَ ; تَسَبَّبَ فِي أو بِـ ; دَخَلَ في ; ساعَدَ على ; سَبَّبَ ; شَرَعَ ( فِي ) ; هَلَّ
الصفة
مُحْدَث ; مُسْتَوْلَد ; ناتِج ; ناجِم ; ناجِمٌ ( عَنْ ) , مُسَبَّبٌ ( عَنْ )
In algebra, a finitely generated group is a group G that has some finite generating set S so that every element of G can be written as the combination (under the group operation) of finitely many elements of S and of inverses of such elements.
By definition, every finite group is finitely generated, since S can be taken to be G itself. Every infinite finitely generated group must be countable but countable groups need not be finitely generated. The additive group of rational numbers Q is an example of a countable group that is not finitely generated.