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	ON ALGORITHMIC ASPECTS OF THE l-TORSION OF BRAUER GROUPS
	Wang, Lin ; Xu, Mao-Zhi
	2012
关键词	Brauer group K-2 group of a field invariant homomorphism Hilbert symbol discrete logarithm SIGNATURE CALCULUS FIELD SIEVE
英文摘要	We study the algorithmic aspects of the l-torsion of the Brauer group Br(K) of a field K which contains the l-th roots of unity mu(l), only provided with basic operations on the elements of K. We use a primitive root of unity and nonzero elements in K to represent elements of Br(K)[l]. An algorithm is given to compute the invariant homomorphism on Br(Q(l)(mu(l)))[l] for an odd prime l. We also give a remark on potential application of Brauer groups to solve the discrete logarithm problem of multiplicative groups of finite fields.; Mathematics; SCI(E); 0; ARTICLE; 3; 297-312; 35
语种	英语
出处	SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157558]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Lin,Xu, Mao-Zhi. ON ALGORITHMIC ASPECTS OF THE l-TORSION OF BRAUER GROUPS. 2012-01-01.

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