Garlands containing the general linear group over an intermediate field
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Let K/k be a finite extension of fields with an intermediate subfield L, and let H = GLL(K) be the general linear group of all L-linear invertible mappings of the vector space of the field K over L. It is proved that the subgroups lying between GLK(K)H and the normalizer of H in G, where G = GLk(K), form a garland. Bibliography: 4 titles.
KeywordsVector Space Linear Group General Linear Group Finite Extension Invertible Mapping
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