The number of embeddings of integral quadratic forms, II

The number of embeddings of integral quadratic forms, II

Rick Miranda and David R. Morrison

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 62, Number 1 (1986), 29-32.

Related Works:

Part I: Rick Miranda, David R. Morrison. The number of embeddings of integral quadratic forms, I. Proc. Japan Acad. Ser. A Math. Sci., Volume 61, Number 10 (1985), 317--320.

Mathematical Reviews (MathSciNet): MR834537

Project Euclid: euclid.pja/1195514534

Primary Subjects: 11E81

Secondary Subjects: 20G20

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195514495
Mathematical Reviews number (MathSciNet): MR839800
Zentralblatt MATH identifier: 0594.10012
Digital Object Identifier: doi:10.3792/pjaa.62.29

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References

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Mathematical Reviews (MathSciNet): MR733785

Zentralblatt MATH: 0525.14002

[2] A. H. Durfee: Bilinear and quadratic forms on torsion modules. Advances in Math., 25, 133-164 (1977).

Mathematical Reviews (MathSciNet): MR480333

Zentralblatt MATH: 0354.10020

[3] M. Kneser: Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veranderlichen. Arch. Math. (Basel), 7, 323-332 (1956).

Mathematical Reviews (MathSciNet): MR82514

Zentralblatt MATH: 0071.27205

[4] R. Miranda: Nondegenerate symmetric bilinear forms on finite abelian 2-groups. Trans. Amer. Math. Soc, 284, 535-542 (1984).

Mathematical Reviews (MathSciNet): MR743731

Zentralblatt MATH: 0512.10014

[5] R. Miranda and D. R. Morrison: The number of embeddings of integral quadratic forms. I. Proc. Japan Acad., 61A, 317-320 (1985).

Mathematical Reviews (MathSciNet): MR834537

Zentralblatt MATH: 0589.10020

[6] V. V. Nikulin: Integral symmetric bilinear forms and some of their applications. Izv. Akad. Nauk SSSR, 43, 111-177 (1979) ; Math. USSR Izvestija, 14, 103-167 (1980).

Mathematical Reviews (MathSciNet): MR525944

Zentralblatt MATH: 0427.10014

[7] O. T. O'Meara and B. Pollak: Generation of local integral orthogonal groups. Math. Z., 87, 385-400 (1965).

Mathematical Reviews (MathSciNet): MR173713

Zentralblatt MATH: 0134.26404

[8] C. T. C. Wall: Quadratic forms on finite groups, and related topics. Topology, 2, 281-298 (1963).

Mathematical Reviews (MathSciNet): MR156890

Zentralblatt MATH: 0215.39903

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