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Some Relative Relation Modules of Finite Groups
English
134 b
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The study of some relative relation modules is along the line of Gruenberg's theory of relation modules, and fall under the three main heading: i) exact sequence associated with relative relation modules; ii) decomposition properties; iii) comparison of different relative relation modules of finite group G. Much of the study depends on the relationship between relation modules and relative relation modules. Since relative relation module is a homomorphic image of the corresponding relation module. As a results much of their properties are interconnected. The study of relative relation modules includes the knowledge of various algebraic structures such as augmentation ideal of group ring, intervening number of V and W, irreducible submodule of group ring, wreath product of G and H, tensor product, Jacobson radical of module, localization of module at the prime ideal p, semi-local Dedekind domain, local ring etc. Hope this book will provide necessary prerequisites for researcher in this field.
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