Holomorph of the group and their applications in cryptography
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Date
2021
Authors
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Journal ISSN
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Publisher
Faculty of Mathematics and Computer Science Department of Mathematics - Option : Algebra and Discrete Mathematics
Abstract
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)
Description
Keywords
Group of automorphism, semidirect products of groups, public key exchange.