Residually Finite Group

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that h(g) neq 1., There are a number of equivalent definitions: A group is residually finite if for each non-identity element in the group, there is a normal subgroup of finite index not containing that element. A group is residually finite if and only if the intersection of all its subgroups of finite index is trivial. A group is residually finite if and only if the intersection of all its normal subgroups of finite index is trivial. A group is residually finite if and only if it can be embedded inside the direct product of a family of finite groups

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131260322
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131260322
    • Format Fachbuch
    • Titel Residually Finite Group
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 68
    • Genre Mathematik

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