Concerning second main Brawer’s theorem

  • P. G. Gres Ужгород. ун-т

Abstract

The inverse of the well-known Brauer formula is given, which is a consequence of his second main theorem. The formula can be applied to an evaluation of values of characters of local subgroups. Moreover, if b is a block of СG (π), B is a block of a group G, then a method is found to check the equality bG = В.

References

Фейт У. Теория представлений конечных групп.— М. : Наука, 1990.— 462 с.

Iizuka К. On Brauer’s theorem on sections in the theory of blocks of group characters // Math. Z.— 1961.— 75.— P. 299—304.

Green J. A. Blocks of modular representations// Ibid.— 1962.— 79.— P. 100—115.

Кэртис Ч., Райнер И. Теория представлений конечных групп и ассоциативных алгебр. — М.: Наука, 1969.— 668 с.

Published
07.07.1992
How to Cite
Gres P. G. “Concerning Second Main Brawer’s Theorem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 6, July 1992, pp. 736-41, https://umj.imath.kiev.ua/index.php/umj/article/view/8004.
Section
Research articles