An elementary Abelian group of large rank is not a CI-group

Authors:
M. Muzychuk
Affiliations:
Department of Computer Science and Mathematics, Netanya Academic College, 16 Kibbutz Galuyot St., 42365 Netanya, Israel
Venue:
Discrete Mathematics - The 2000 Com2MaC conference on association schemes, codes and designs
Year:
2003

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Abstract

In this paper, we prove that the group Zpn is not a CI-group if n ≥ 2p - 1 + (2p-1/p), that is there exist two Cayley digraphs over Zpn which are isomorphic but their connection sets are not conjugate by an automorphism of Zpn.