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- W2321888668 abstract "Let K be a field. The Schur subgroup, S(K), of the Brauer group, B(K), consists of all classes [△] in B(K) some representative of which is a simple component of one of the semi-simple group algebras, KG, where G is a finite group such that char K ∤ G . Yamada ([ 11 ], p. 46) has characterized S(K) for all finite extensions of the p -adic number field, Q p . If p is odd, [△] ∈ S(K) if and only if where c is the tame ramification index of k/Q p , k the maximal cyclotomic subfield of K , and s = (( p – 1)/ c , [ K : k ]). inv p △ is the Hasse invariant. Yamada showed this by proving first that S(K) is the group of classes containing cyclotomic algebras and then determining the invariants of such algebras." @default.
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- W2321888668 date "1979-04-01" @default.
- W2321888668 modified "2023-09-26" @default.
- W2321888668 title "The Schur Subgroup of a p-Adic Field" @default.
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- W2321888668 doi "https://doi.org/10.4153/cjm-1979-031-5" @default.
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