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Representations of 2-Groups by Polynomials

Representations of 2-Groups by Polynomials It is known that any finite p-group can be represented by polynomials. However, how to represent p-groups and how to classify p-groups up to isomorphism are interesting and open questions. In this article, we investigate the 2-groups of order ≤ 8, and represent the dihedral group D 2n, the generalized quaternion group Q 2n, and the infinite dihedral group D ∞. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

Representations of 2-Groups by Polynomials

Zhang, Xuebin
Algebra Colloquium , Volume 7 (3) – Jan 1, 2000
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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Hong Kong
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s10011-000-0241-8
Publisher site
See Article on Publisher Site

Abstract

It is known that any finite p-group can be represented by polynomials. However, how to represent p-groups and how to classify p-groups up to isomorphism are interesting and open questions. In this article, we investigate the 2-groups of order ≤ 8, and represent the dihedral group D 2n, the generalized quaternion group Q 2n, and the infinite dihedral group D ∞.

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2000

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