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Finite p-soluble groups with irreducible modular representations of given degrees
Published online by Cambridge University Press: 20 January 2009
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Let G be a finite group, p be a prime and K be a field of characteristic p. Let
be a decomposition of the group ring of G over K as a sum of indecomposable two-sided ideals. An irreducible K(G)-module is said to be in the block Bi if it occurs as a composition factor of Bi. The block containing the trivial K(G)-module is called the principal block of G.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 3 , March 1977 , pp. 219 - 223
- Copyright
- Copyright © Edinburgh Mathematical Society 1977
References
REFERENCES
(1) Fong, P., On the characters of p-soluble groups, Trans. Amer. Math. Soc. 98 (1961), 263–284.Google Scholar
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(3) Humphreys, J. F., Groups with modular irreducible representations of bounded degree, J. London Math. Soc. 5 (1972), 233–234.CrossRefGoogle Scholar
(5) Richen, F., Decomposition numbers of p-solvable groups, Proc. Amer. Math. Soc. 25 (1970), 100–104.Google Scholar
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