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PERMUTATION MODULES,p-PERMUTATION MODULES AND CONLON SPECIES

PERMUTATION MODULES,p-PERMUTATION MODULES AND CONLON SPECIES
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摘要 This paper introduces a suitable Galois group T for a field F of characteristic p,discusses the variation of the Conlon species of the sub-Grecn-ring generated by p-permutationFG-modules under the action of T, and then proves that the fixed point set of the sub-Green-ring generated by p-permutation modules acted on by T coincides with the sub-Green-ringgenerated by permutation modules. This paper introduces a suitable Galois group T for a field F of characteristic p,discusses the variation of the Conlon species of the sub-Grecn-ring generated by p-permutationFG-modules under the action of T, and then proves that the fixed point set of the sub-Green-ring generated by p-permutation modules acted on by T coincides with the sub-Green-ringgenerated by permutation modules.
作者 樊恽
出处 《Science China Mathematics》 SCIE 1991年第11期1290-1301,共12页 中国科学:数学(英文版)
关键词 PERMUTATION MODULE p-permutation MODULE Green RING Conlon SPECIES action of GALOIS group. permutation module p-permutation module Green ring Conlon species action of Galois group.
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