ListarMAT_Articles por tema "powers of conjugacy classes"
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Cosets of normal subgroups and powers of conjugacy classes
Wiley (2021-08-03)Let 𝐺 be a finite group and let𝐾 = 𝑥𝐺 be the conjugacy class of an element 𝑥 of 𝐺. In this paper, it is proved that if 𝑁 is a normal subgroup of 𝐺 such that the coset 𝑥𝑁 is the union of 𝐾 and 𝐾−1 (the conjugacy ... -
On powers of conjugacy classes in finite groups
De Gruyter (2022-03-17)Let 𝐾 and 𝐷 be conjugacy classes of a finite group 𝐺, and suppose that we have Kn=D∪D−1 for some integer n≥2. Under these assumptions, it was conjectured that ⟨K⟩ must be a (normal) solvable subgroup of 𝐺. Recently ...
