Four different rose hybrid populations were analyzed by ISSR technique with nine polymorphic primers. All of the primers produced 64 bands, of which 59 were polymorphic. The average of polymorphic bands was 6.6 for ea...Four different rose hybrid populations were analyzed by ISSR technique with nine polymorphic primers. All of the primers produced 64 bands, of which 59 were polymorphic. The average of polymorphic bands was 6.6 for each primer. The percentage of polymorphism ranged from 57.1% to 100%, with an average of 92.3%. An UPGMA dendrogram showed five groups. The primer numbered with PI9 and PI11 had relatively high resolution in identifying the F1 offspring in this research.展开更多
Based on a thorough theory of the Artin transfer homomorphism from a group G to the abelianization of a subgroup of finite index , and its connection with the permutation representation and the monomial representation...Based on a thorough theory of the Artin transfer homomorphism from a group G to the abelianization of a subgroup of finite index , and its connection with the permutation representation and the monomial representation of G, the Artin pattern , which consists of families , resp. , of transfer targets, resp. transfer kernels, is defined for the vertices of any descendant tree T of finite p-groups. It is endowed with partial order relations and , which are compatible with the parent-descendant relation of the edges of the tree T. The partial order enables termination criteria for the p-group generation algorithm which can be used for searching and identifying a finite p-group G, whose Artin pattern is known completely or at least partially, by constructing the descendant tree with the abelianization of G as its root. An appendix summarizes details concerning induced homomorphisms between quotient groups, which play a crucial role in establishing the natural partial order on Artin patterns and explaining the stabilization, resp. polarization, of their components in descendant trees T of finite p-groups.展开更多
Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant ...Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups.展开更多
基金Supported by the National Natural Science Foundation of China (31171986)Science and Technology Creative Talents of the Special Fund Project of Harbin (RC2012XK002013)Overseas Scholars Research Funding Project of Education Department of Heilongjiang Province (1154h04)
文摘Four different rose hybrid populations were analyzed by ISSR technique with nine polymorphic primers. All of the primers produced 64 bands, of which 59 were polymorphic. The average of polymorphic bands was 6.6 for each primer. The percentage of polymorphism ranged from 57.1% to 100%, with an average of 92.3%. An UPGMA dendrogram showed five groups. The primer numbered with PI9 and PI11 had relatively high resolution in identifying the F1 offspring in this research.
文摘Based on a thorough theory of the Artin transfer homomorphism from a group G to the abelianization of a subgroup of finite index , and its connection with the permutation representation and the monomial representation of G, the Artin pattern , which consists of families , resp. , of transfer targets, resp. transfer kernels, is defined for the vertices of any descendant tree T of finite p-groups. It is endowed with partial order relations and , which are compatible with the parent-descendant relation of the edges of the tree T. The partial order enables termination criteria for the p-group generation algorithm which can be used for searching and identifying a finite p-group G, whose Artin pattern is known completely or at least partially, by constructing the descendant tree with the abelianization of G as its root. An appendix summarizes details concerning induced homomorphisms between quotient groups, which play a crucial role in establishing the natural partial order on Artin patterns and explaining the stabilization, resp. polarization, of their components in descendant trees T of finite p-groups.
文摘Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups.
