SUBGROUPS OF THE SKEW GENERAL LINEAR GROUP OVER THE DIVISION RING OF REAL QUATERNIONS
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Abstract
Let be the division ring of real quaternions and a positive integer. In this paper, we show that every subgroup of finite index in the skew general linear group is non-central normal, and so it contains the skew special linear group Also, we show that every proper subgroup of is of infinite index. Besides, we show that every subnormal subgroup of is a T-group and so it is normal in
Keywords
division ring of real quaternions, subgroup of finite index, subnormal subgroup
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References
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