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    Rational Groups whose character degree graphs are disconnected
    (Academie des Sciences, 2022) Erkoç, Temha; Akar, Gamze
    A finite group all of whose complex character values are rational is called a rational group. In this paper, we classify all rational groups whose character degree graphs are disconnected.
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    SM-vanishing conjugacy classes of finite groups
    (World Scientific Publ Co Pte Ltd, 2023) Erkoc, Temha; Gungor, Sultan Bozkurt; Akar, Gamze
    Let G be a finite group. In this paper, we say that g is an element of G is an SM-vanishing element of G, if there exists a strongly monolithic character chi of G such that chi(g) = 0. The conjugacy class of an SM-vanishing element of G is called an SM-vanishing conjugacy class of G. Our purpose here is to prove that for determining some properties of the structure of the group G, it is enough to consider the same arithmetical conditions on the sizes of SM-vanishing conjugacy classes of G instead of certain arithmetical conditions on the sizes of vanishing conjugacy classes of G.