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PAN Jiang-min. Orders of periodic elements of general linear group over any field[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(5): 369-371.
Citation: PAN Jiang-min. Orders of periodic elements of general linear group over any field[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(5): 369-371.
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Orders of periodic elements of general linear group over any field

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  • Let F be any field,GL(m,F)be the general linear group over F,SF(m)be the set of orders of periodic elements in GL(m,F).Anecessary and sufficient condition for that there is an element A∈ GL(m,F)such that o(A)=n is proved.Moreover,if E/F is an extension of field,it is addressed a sufficient condition such that SF(m)=SE(m).
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