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Extension of conjectures of Cohen and Lenstra

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Publication:1088719
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zbMath0613.12003MaRDI QIDQ1088719

Frank III Gerth

Publication date: 1987

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

ideal class groupsp-extensionsgenus groupCohen-Lenstra conjecturesprincipal genus


Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)


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The distribution of sandpile groups of random graphs, Class group \(L\)-functions, On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4, On the 4-rank of class groups of quadratic number fields, On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq), Probability theory for random groups arising in number theory, Random partitions and Cohen-Lenstra heuristics, The number of \(D_4\)-fields ordered by conductor, A heuristic for boundedness of ranks of elliptic curves



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