Dispute between agriculture and initial population expansion in Neolithic Time has been in suspense for a long time.Agriculture first appeared in the Fertile Crescent of West Asia about 11–12 thousand years ago(kya...Dispute between agriculture and initial population expansion in Neolithic Time has been in suspense for a long time.Agriculture first appeared in the Fertile Crescent of West Asia about 11–12 thousand years ago(kya),with domesticating few wild plant and animal species.There is also evidence of the cultivation of rice and millet in Yangtze and Yellow River Basins of China approximately 9 kya.展开更多
A finite group G is called exceptional if for a Galois extension F/k of number fields with the Galois group G,in the Brauer-Kuroda relation of the Dedekind zeta functions of fields between k and F,the zeta function of...A finite group G is called exceptional if for a Galois extension F/k of number fields with the Galois group G,in the Brauer-Kuroda relation of the Dedekind zeta functions of fields between k and F,the zeta function of F does not appear.In the present paper we describe effectively all exceptional groups of orders divisible by exactly two prime numbers p and q,which have unique subgroups of orders p and q.展开更多
基金supported by the National Excellent Youth Science Foundation of China (31222030)National Natural Science Foundation of China (91131002)+1 种基金MOE Scientific Research Project (113022A)Shanghai Shuguang Project (14SG05).
文摘Dispute between agriculture and initial population expansion in Neolithic Time has been in suspense for a long time.Agriculture first appeared in the Fertile Crescent of West Asia about 11–12 thousand years ago(kya),with domesticating few wild plant and animal species.There is also evidence of the cultivation of rice and millet in Yangtze and Yellow River Basins of China approximately 9 kya.
基金supported by National Natural Science Foundation of China (Grant No. 10871106)
文摘A finite group G is called exceptional if for a Galois extension F/k of number fields with the Galois group G,in the Brauer-Kuroda relation of the Dedekind zeta functions of fields between k and F,the zeta function of F does not appear.In the present paper we describe effectively all exceptional groups of orders divisible by exactly two prime numbers p and q,which have unique subgroups of orders p and q.