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some new properties of non-abelian tensor analogues of 2-auto engel groups
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نویسنده
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sajedi mostafa ,darabi hamid
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منبع
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caspian journal of mathematical sciences - 2023 - دوره : 12 - شماره : 1 - صفحه:204 -210
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چکیده
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In this paper, we study the concept of 2⊗-auto engel groups. among other results, we prove that for any group g, if every element of g⊗aut(g) is 2⊗-engel group, then ⟨(g ⊗ α),(g ⊗ α) g′⊗α′⟩ is a nilpotent subgroup of class at most 2 in g ⊗ aut(g), for all g, g′ ∈ g and α, α′ ∈ aut(g).
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کلیدواژه
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non-abelian tensor product ,auto engel element ,autocommutator subgroup
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آدرس
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esfarayen university of technology, department of mathematics, iran, esfarayen university of technology, department of mathematics, iran
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پست الکترونیکی
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darabi@esfarayen.ac.ir
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Authors
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