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

• Authors: T. Lulek , R. Chatterjee
• 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

EN

02.20.+b; 02.40.+m; 03.20.+i; 11.30.Er

Discipline

• 11.30.Er: Charge conjugation, parity, time reversal, and other discrete symmetries

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1992
• Volume: 82
• Issue: 3
• Pages: 395-406

Dates

published

1992-09

received

1992-05-28

Contributors

author

T. Lulek

• Institute of Physics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

author

R. Chatterjee

• Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada

Identifiers

DOI

10.12693/APhysPolA.82.395