- Tytuł:
- Mac Lane Method for Determination of Extensions of Finite Groups. II. An Example for the Dihedral Group D$\text{}_{2}$
- Autorzy:
-
Lulek, T.
Chatterjee, R. - Powiązania:
- https://bibliotekanauki.pl/articles/1920926.pdf
- Data publikacji:
- 1992-09
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
02.20.+b
02.40.+m
03.20.+i
11.30.Er - Opis:
- 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$\text{}_{2}$, T = C$\text{}_{2}$. 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.
- Źródło:
-
Acta Physica Polonica A; 1992, 82, 3; 395-406
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł