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transfer

defines, given a group G and a subgroup of finite index H, a group homomorphism from G to the abelianization of H

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About transfer

In the mathematical field of group theory, the transfer defines, given a group G and a subgroup H of finite index, a group homomorphism from G to the abelianization of H. It can be used in conjunction with the Sylow theorems to obtain certain numerical results on the existence of finite simple groups.

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