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Finite Groups Close to Frobenius Groups

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We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element… Click to show full abstract

We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element of the quotient group G/F, consists only of p-elements. The particular example of such a group is a Frobenius group, given that F is the Frobenius kernel of G, and also the Camina group.

Keywords: finite groups; groups close; frobenius groups; group; close frobenius

Journal Title: Siberian Mathematical Journal
Year Published: 2019

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