منابع مشابه
Groups without Proper Isomorphic Quotient Groups
If ƒ is a homomorphism of the group G, and if g is an isomorphism of the image group G, then f g is a homomorphism of G too ; and this homomorphism is an isomorphism if, and only if, ƒ is an isomorphism. Consequently the following three properties of the group G imply each other. (1) Homomorphisms of G upon isomorphic groups are isomorphisms. (2) Homomorphisms of G upon itself are isomorphisms....
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In this note, we prove that for any finite dimensional vector space V over an algebraically closed field k, and for any finite subgroup G of GL(V ) which is either solvable or is generated by pseudo reflections such that the |G| is a unit in k, the projective variety P(V )/G is projectively normal with respect to the descent of O(1)⊗|G|.
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Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the table of marks and the markaracter table of groups of order pqr where p, q, r are prime numbers.
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1.1. Principal G-bundles. Topology is concerned with topological spaces and continuous maps between them. But the data is a topological space of so complicated and infinite in nature that it can be very difficult even to tell when two topological spaces are “the same.” For instance, all n-dimensional manifolds look locally the same. A central theme in algebraic topology is to attach algebraic i...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.2307/2044663