PL EN


Preferences help
enabled [disable] Abstract
Number of results
1992 | 82 | 3 | 395-406
Article title

Mac Lane Method for Determination of Extensions of Finite Groups. II. An Example for the Dihedral Group D_{2}

Content
Title variants
Languages of publication
EN
Abstracts
EN
The Mac Lane method of classification and construction of all extensions of a group Q by an Abelian group T is demonstrated on the case Q = D_{2}, T = C_{2}. Constructions involving free groups and operator homomorphisms are performed in detail, and the complete list of resulting extensions is given. It is shown that there are 8 classes of gauge equivalency, and they fall into 4 classes of isomorphism. The role of gauge transformations is pointed out. Physical contexts of various constructions are reviewed. A comparison with the direct cohomology definitions is performed.
Keywords
Publisher

Year
Volume
82
Issue
3
Pages
395-406
Physical description
Dates
published
1992-09
received
1992-05-28
Contributors
author
  • Institute of Physics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
author
  • Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv82z303kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.