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Title: On Isaacs' problem

Let G be a π-soluble irreducible complex linear group of degree n such that a Hall π-subgroup H of it has odd order, is a TI-subgroup, and is not normal in G. In this paper it is established that n is divisible by |H| or by a power f>1 of some prime number such that f≡±1 (mod|H|). Bibliography: 15 titles.
Authors:
 [1]
  1. Institute of Mathematics, National Academy of Sciences of the Republic of Belarus, Minsk (Belarus)
Publication Date:
OSTI Identifier:
22365855
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; GROUP THEORY; IRREDUCIBLE REPRESENTATIONS; MATHEMATICAL SOLUTIONS