on groups satisfying the double chain condition on nonascendant subgroups
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نویسنده
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zhang jia
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منبع
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international journal of group theory - 2025 - دوره : 14 - شماره : 1 - صفحه:1 -7
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چکیده
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If θ is a subgroup property, a group g is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double chain · · · < x−n < · · · < x−1 < x0 < x1 < · · · < xn < · · · consisting of θ-subgroups. here we want to describe the structure of locally finite and locally nilpotent groups satisfying the double chain condition on non-ascendant subgroups in term of chain conditions and of ascendant subgroups.
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کلیدواژه
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double chains ,ascendant subgroups ,locally finite groups ,locally nilpotent groups
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آدرس
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pingxiang universiry, china
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پست الکترونیکی
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jzhangwork@tutanota.com
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