三类2q2p阶群的3度Cayley图

Cubic Cayley Graphs on Three Kinds of Groups with Order 2q²p

Cubic Cayley Graphs on Three Kinds of Groups with Order 2q2p

Cubic Cayley Graphs on Three Kinds of Groups with Order 2q²p

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Abstract: A Cayley (di)graph Γ of a finite group G issaid to be normal if the action of G on V(Γ) by right multiplication isnormal in the full automor-phism group of Γ.This paper mainly researches the mormality of connected cubic Cayley graphs on three kinds ofmetacyclic groups with order 2q²p,where both q＜p are odd primes andq (p-1).In application,the weak 3-CI property of two kinds of groups are determined.The conclusion also involves in the classification of the finite simple groups.

Key words: Cayley graph, normal Cayley graph, weak m CI-property

CLC Number:

O157

XU Shang-jin, SUN Li-min, LIU Cui-ming, BAI Hui-juan. Cubic Cayley Graphs on Three Kinds of Groups with Order 2q²p[J].Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(2): 30-33.

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