Abstract
We study the so-called finite tangled groups. These are the groups whose every subset containing 1 and closed under the operation x ○ y = xy −1 x is a subgroup. The general problem of studying such groups reduces to the case of tangled groups of odd order. We classify all finite nilpotent tangled groups.
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Original Russian Text Copyright © 2007 Myl’nikov A. L.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 2, pp. 369–375, March–April, 2007.
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Myl’nikov, A.L. Finite tangled groups. Sib Math J 48, 295–299 (2007). https://doi.org/10.1007/s11202-007-0030-4
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DOI: https://doi.org/10.1007/s11202-007-0030-4