Revue Semestrielle Des Publications Mathématiques, Vol. 11: Premiere Partie; 1902, Avril-Octobre (Classic Reprint) - Hardcover

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Excerpt from Revue Semestrielle Des Publications Mathématiques, Vol. 11: Premiere Partie; 1902, Avril-Octobre

If every operator of an abelian group is put into correspondence with its a-th power, an isomorphism is obtained; if hisaprime to the order ofevery_3_ Operator in the group, the resulting isomorphism is simple. The author denotes it by a-holornorphism. He examines under what conditions non abelian groups do admit a-holomorphisms and what arethe properties of the corresponding operators in the group of isomorphisms (p. 186 - 190.

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