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Browsing per Sponsorship "P.G. Demidov Yaroslavl State University"

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Browsing per Sponsorship "P.G. Demidov Yaroslavl State University"

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    On products of groups and indices not divisible by a given prime 
    Felipe Román, María Josefa; Kazarin, Lev S.; Martínez-Pastor, Ana; Sotomayor, Víctor (Springer-Verlag, 2020-12)
    [EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR ...
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    The D-pi-property on products of pi-decomposable groups 
    Kazarin, L.S.; Martínez-Pastor, Ana; Pérez-Ramos, M. D. (Springer-Verlag, 2020-11-01)
    [EN] The aim of this paper is to prove the following result: Let pi be a set of odd primes. If the group G = AB is the product of two p-decomposable subgroups A = A(pi) x A(pi') and B = B-pi x B-pi', then G has a unique ...
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    Thompson-like characterization of solubility for products of finite groups 
    Hauck, P.; Kazarin, L. S.; Martínez-Pastor, Ana; Pérez-Ramos, M. D. (Springer-Verlag, 2021-02)
    [EN] A remarkable result of Thompson states that a finite group is soluble if and only if all its two-generated subgroups are soluble. This result has been generalized in numerous ways, and it is in the core of a wide area ...