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Information × Registration Number 0219U100057, 0115U007026 , R & D reports Title Representations of finite groups and their applications. popup.stage_title Head Shаpochkа Ihor V., Кандидат фізико-математичних наук Registration Date 14-01-2019 Organization State University "Uzhhorod National University" popup.description2 The subalgebra of the algebra of projective integral 2-adic representations of a cyclic 2-group, generated by irreducible projective integral 2-adic representations, have been studied. We have found the formulas for the tensor products of indecomposable integral matrix representations of the symmetric group of the third degree. All minimal irreducible solvable subgroups of the group GL(q, Zp) (q is a prime, Zp is the ring of rational p-adic integers) are described up to conjugation for p > 2. It has been shown that the product of the permutation matrix of a cycle of the length n and the diagonal matrix diag[1,…,1,t,t] over commutative local ring< the Jacobson radical of which is generated by the element t  0 is indecomposable Product Description popup.authors popup.nrat_date 2020-04-02 Close