Conjugacy classes of maximal cyclic subgroups of metacyclic ????-groups
نویسندگان
چکیده
Abstract In this paper, we set ? ? ( G stretchy="false">) \eta(G) to be the number of conjugacy classes maximal cyclic subgroups a finite group ????. We compute for all metacyclic ????-groups. show that if ???? is ????-group order p n p^{n} not dihedral, generalized quaternion, or semi-dihedral, then ? - 2 \eta(G)\geq n-2 , and determine when equality holds.
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2022
ISSN: ['1435-4446', '1433-5883']
DOI: https://doi.org/10.1515/jgth-2022-0103