Self-Complementary Circulants of Prime-Power Order
Self-Complementary Circulants of Prime-Power Order
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DOI：
10.1137/120870025
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发表时间：
2014-01
期刊：
影响因子：
--
通讯作者：
Caiheng Li;Shaohui Sun;Jing Xu
中科院分区：
文献类型：
--
作者：
Caiheng Li;Shaohui Sun;Jing Xu
设$\ $是一个素数幂阶的自补循环。证明了$\Gamma$是两个小自互补循环的字典积，或者存在一个正则循环子群的乘法自同构，将$\Gamma$映射到它的补。
Let $\Gamma$ be a self-complementary circulant of prime power order. It is shown that either $\Gamma$ is a lexicographic product of two small self-complementary circulants or there exists a multiplicative automorphism of a regular cyclic subgroup that maps $\Gamma$ to its complement.