The Sylow p-Subgroups of a Limiting (Stable) Linear Group over an Algebraically Closed Field |
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Authors: | I D Ivanyuta |
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Institution: | (1) ul. Dobrochotova 10, kv. 12a, 252142 Kiev, Ukraine |
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Abstract: | In Math. Zh. 36(3) (1963), 240–246, we considered the classification of Sylow p-subgroups of a countable (finitary) symmetric group. Later, we extended this classification to Sylow p-subgroups of a limiting (stable) linear group over a finite field GF(q) with char(GF(q)) p. In this paper, the classification of the Sylow p-subgroups of the limiting (stable) linear group GL() is given for an algebraically closed field of characteristic p. Every Sylow p-subgroup is characterized by a p-adic integer together with a finite or countable cardinal. |
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Keywords: | Sylow subgroups limiting linear group |
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