2-adic cofiltration of SO3(Q)

Tengiz Bokelavadze , Raffaello Caserta
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引用次数: 0

Abstract

We prove that the group SO3(Q) of rational rotations is the inverse limit of a family of finite solvable groups of order 23k23, whose 2-Sylow subgroups have nilpotency class 2k3, exponent 2k1, and Frattini subgroups coinciding with the commutator subgroups, and we give generators for these groups.

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SO3的二进共滤(Q)
证明了有理旋转群SO3(Q)是一类23k−2·3阶有限可解群的逆极限,该类群的2- sylow子群具有幂零类2k−3,指数2k−1,以及与对易子群一致的Frattini子群,并给出了这些群的生成器。
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来源期刊
CiteScore
0.50
自引率
50.00%
发文量
0
审稿时长
22 weeks
期刊最新文献
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