Browsing by Author "GUAGUI, Fatima ezzahra"

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    Holomorph of the group and their applications in cryptography
    (Faculty of Mathematics and Computer Science Department of Mathematics - Option : Algebra and Discrete Mathematics, 2021) GUAGUI, Fatima ezzahra
    The holomorph of the group G, usually denoted by Hol(G), is the na- turel semidirect Product Aut(G)G of G by its automorphism group Aut(G). Let : G ! S(G); g ! fg : (x ! gx) the left regular representation of G. In this paper we will show that the group Hol(G) is isomorphic to the group: (G)Aut(G) Also, we describe the public Key exchange in the group: (G)Aut(G)