| 词条 | Ribet's lemma |
| 释义 |
In mathematics, Ribet's lemma gives conditions for a subgroup of a product of groups to be the whole product group. It was introduced by {{harvs|txt|last=Ribet|year=1976|loc=lemma 5.2.2|authorlink=Ken Ribet}}. StatementSuppose G1×...×Gn is a product of perfect groups. Then any subgroup of this product that maps onto all the factors Gi for i=1, ..., n is the whole product group. References
|last=Ribet|first= Kenneth A. |title=Galois action on division points of Abelian varieties with real multiplications |journal=Amer. J. Math.|volume= 98 |year=1976|issue= 3|pages=751–804|jstor=2373815|doi=10.2307/2373815}} 1 : Group theory |
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