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A Note on Autocamina Groups


Abstract


In this paper we define Autocamina Group. In Camina group, conjugacy class of an element outside the commutator subgroup coincides with the coset of the commutator subgroup. Similarly we call a group an Autocamina group, if fusion class is the coset of autocommutator subgroup. We study the structure of Autocamina groups in this paper.

DOI Code: 10.1285/i15900932v35n2p39

Keywords: Camina group; Autocamina group; Frobenius group

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