Realization of finite groups over function fields
نویسندگان
چکیده
منابع مشابه
Heisenberg groups over finite fields
ing this computation, for given k-vectorspace V with non-degenerate alternating form 〈, 〉, put a Lie algebra [2] structure h on V ⊕ k by Lie bracket [v ⊕ z, v′ ⊕ z′] = 0⊕ 〈v, v′〉 In exponential coordinates on H, the exponential map h→ H with H ≈ V ⊕ k is notated exp(v ⊕ z) = v ⊕ z with Lie group structure on H by (v ⊕ z) · (v′ ⊕ z′) = (v + v′)⊕ (z + z′ + 〈v, v ′〉 2 ) (exponential coordinates in...
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We use the method of Scholz and Reichardt and a transfer principle from finite fields to pseudo finite fields in order to prove the following result. Theorem: Let G be a group of order l, where l is a prime number. Let K0 be either a finite field with |K0| > l or a pseudo finite field. Suppose that l 6= char(K0) and that K0 does not contain the root of unity ζl of order l. Let K = K0(t), with t...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1973
ISSN: 0021-8693
DOI: 10.1016/0021-8693(73)90158-0