Infinite Groups with an Anticentral Element |
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Authors: | K?vanç Ersoy |
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Institution: | 1. Department of Mathematics , Mimar Sinan Fine Arts University , Istanbul , Turkey ersoykivanc@gmail.com |
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Abstract: | An element of a group is called anticentral if the conjugacy class of that element is equal to the coset of the commutator subgroup containing that element. A group is called Camina group if every element outside the commutator subgroup is anticentral. In this paper, we investigate the structure of locally finite groups with an anticentral element. Moreover, we construct some non-periodic examples of Camina groups, which are not locally solvable. |
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Keywords: | Anticentral elements Camina groups Locally finite groups |
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