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Subnormal Subgroups of Division Rings
Let K be a division ring. A subgroup H of the multiplicative group K′ of K is subnormal if there is a finite sequence (H = A0, A1, . . . , An = K′) of subgroups of K′ such that each Ai is a normal subgroup of Ai+1. It is known (2, 3) that if H is a subdivision ring of K such that H′ is subnormal in K′, then either H = K or H is in the centre Z(K) of K.
Herstein, I. N., Scott, W. R.
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Joins of σ-subnormal subgroups
26pp
Ferrara M., Trombetti M.
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