Betascript Publishers

Rank of a group

Name: Rank of a group
Brand: Betascript Publishers
SKU: b2320aec5abcb8bc888eb8114f44d94d

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Beschrijving

Bol Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. If G is a finitely generated group, then the rank of G is a nonnegative integer. The notion of rank of a group is a group-theoretic analog of the notion of dimension of a vector space. Indeed, for p-groups, the rank of the group P is the dimension of the vector space P/¿(P), where ¿(P) is the Frattini subgroup. The rank of a group is also often defined in such a way as to ensure subgroups have rank less than or equal to the whole group, which is automatically the case for dimensions of vector spaces, but not for groups such as affine groups.

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Beschrijving (1)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. If G is a finitely generated group, then the rank of G is a nonnegative integer. The notion of rank of a group is a group-theoretic analog of the notion of dimension of a vector space. Indeed, for p-groups, the rank of the group P is the dimension of the vector space P/¿(P), where ¿(P) is the Frattini subgroup. The rank of a group is also often defined in such a way as to ensure subgroups have rank less than or equal to the whole group, which is automatically the case for dimensions of vector spaces, but not for groups such as affine groups.

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