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A NOTE ON ENGEL ELEMENTS IN THE FIRST GRIGORCHUK GROUP
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نویسنده
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noce marialaura ,tortora antonio
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منبع
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international journal of group theory - 2019 - دوره : 8 - شماره : 3 - صفحه:9 -14
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چکیده
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Let γ be the first grigorchuk group. according to a result of bartholdi, the only left engel elements of γ are the involutions. this implies that the set of left engel elements of γ is not a subgroup. the natural question arises whether this is also the case for the sets of bounded left engel elements, right engel elements and bounded right engel elements of γ. motivated by this, we prove that these three subsets of γ coincide with the identity subgroup.
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کلیدواژه
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Engel elements ,Grigorchuk group.
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آدرس
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universita di salerno, dipartimento di matematica, Italy. university of the basque country (upv/ehu), matematika saila, Spain, universita di salerno, dipartimento di matematica, Italy
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پست الکترونیکی
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antortora@unisa.it
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Authors
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