Some Relative Relation Modules of Finite Groups
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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 ...
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 inthis field.
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