纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2015年
4期
367-372
,共6页
Cayley图%置换群%局部本原群
Cayley圖%置換群%跼部本原群
Cayley도%치환군%국부본원군
Cayley graph%Permutation group%Locally primitive
首先对平面图形的对称进行分析和利用其对称群进行量化，进而将此推广到考察一般图的广义“对称性”与图自同构群的关系，最后刻画了无平方因子阶局部本原弧传递图的自同构群结构。
首先對平麵圖形的對稱進行分析和利用其對稱群進行量化，進而將此推廣到攷察一般圖的廣義“對稱性”與圖自同構群的關繫，最後刻畫瞭無平方因子階跼部本原弧傳遞圖的自同構群結構。
수선대평면도형적대칭진행분석화이용기대칭군진행양화，진이장차추엄도고찰일반도적엄의“대칭성”여도자동구군적관계，최후각화료무평방인자계국부본원호전체도적자동구군결구。
In this paper, the symmetries of plane figure is analyzed and quantified at first, then the relation between the general symmetry of a graph and its automorphism group is studied, and the automorphism groups of the locally primitive arc transitive graphs of square-free order is presented.
