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Positive definite unimodular lattices with trivial automorphism groups

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Published by American Mathematical Society in Providence, R.I., USA .
Written in English

Subjects:

  • Modular lattices.,
  • Automorphisms.

Book details:

Edition Notes

StatementEtsuko Bannai.
SeriesMemoirs of the American Mathematical Society,, no. 429 (May 1990), Memoirs of the American Mathematical Society ;, no. 429.
Classifications
LC ClassificationsQA3 .A57 no. 429, QA171.5 .A57 no. 429
The Physical Object
Paginationiv, 70 p. ;
Number of Pages70
ID Numbers
Open LibraryOL1872203M
ISBN 100821824910
LC Control Number90031824

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Advancing research. Creating connections.   A description of the automorphism groups of even positive-definite unimodular dimensional lattices is given. This is a preview of subscription content, log in Cited by: 2. In this paper, we give a simple construction method of positive definite unimodular lattices with trivial automorphism groups (i.e.,?the tri-diagonal matrix method), and obtain odd positive. Letp>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive definite Z-lattice of discriminant 4pwhose 2-adic localization has a proper 2-modular Jordan component.

A recent paper of B. Gross and C. McMullen [5] deals with the characteristic polynomials of automorphisms of even, unimodular lattices with signature (p, q). In Section 3 of the present paper a. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share . Prove that every finite group having more than two elements has a nontrivial Automorphism. It is from Topics in Algebra by Herstein. I am not able to solve. Problem Prove that every finite group having more than two elements has a nontrivial automorphism. (Michigan State University, Abstract Algebra .

Leech lattice. In mathematics, the Leech lattice is an even unimodular lattice Λ 24 in dimensional Euclidean space, which is one of the best models for the kissing number problem. It was discovered by John Leech (). It may also have been discovered (but not published) by Ernst Witt in