Existence of normal complement to the Hall subgroup

  • A. V. Romanovsky Гомел. отд-ние Ин-та математики АН Беларуси
  • A. V. Sementovsky Гомел. отд-ние Ин-та математики АН Беларуси

Abstract

A sufficient condition is obtained for the existence of a normal complement of a Hall subgroup, depending on the degrees of a specific set of irreducible characters of the group.

References

Gajendragadkar D. A. Characteristic Class of Characters of Finite π-Separable groups// J. Algebra.— 1979.— 59.— P. 237—259.

Isaacs I. M. Characters of л-separable groups// Ibid.— 1984.— 86.— P. 98—128.

Isaacs I. M. Character theory of finite groups.— New York : Acad, press, 1976.— 303 p.

Thompson J. G. Normal p-complements and irreducible characters //J. Algebra.—1970.— 14.— P. 129—134.

Isaacs I. M. Fong characters in л-separable groups // Ibid.— 1986.— 99.— P. 89—107.

Huppert B. Endliche Gruppen.— Berlin etc.: Springer, 1967.— Bd. 1.— 793 p.

Published
07.07.1992
How to Cite
Romanovsky A. V., and Sementovsky A. V. “Existence of Normal Complement to the Hall Subgroup ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 6, July 1992, pp. 851-3, https://umj.imath.kiev.ua/index.php/umj/article/view/8023.
Section
Short communications