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on the relationships between the factors of the upper and lower central series in some non-periodic groups
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نویسنده
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dixon martyn r. ,kurdachenko leonid a. ,subbotin igor ya.
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منبع
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international journal of group theory - 2018 - دوره : 7 - شماره : 1 - صفحه:37 -50
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چکیده
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This paper deals with the mutual relationships between the factor group g/ζ(g) (respectively g/ζk(g)) and g′ (respectively γk+1(g) and gn). it is proved that if g/ζ(g) (respectively g/ζk(g)) has finite 0-rank, then g′ (respectively γk+1(g) and gn) also have finite 0-rank. furthermore, bounds for the 0-ranks of g′,γk+1(g) and gn are obtained.
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کلیدواژه
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finite rank ,torsion-free rank ,section p-rank ,generalized radical group.
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آدرس
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university of alabama, department of mathematics, usa, national university of dnepropetrovsk, facultet of mathematic and mechanik, department of algebra, ukraine, national university, department of mathematics and natural sciences, usa
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پست الکترونیکی
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isubboti@nu.edu
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Authors
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