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Finite p-soluble groups with irreducible modular representations of given degrees

Published online by Cambridge University Press:  20 January 2009

J. F. Humphreys
J. F. Humphreys
Affiliation:
The University, Liverpool
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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
(2) Fong, P. and Gaschütz, W., A note on modular representations of solvable groups, J. Reine Angew. Math. 208 (1961), 73–78.CrossRefGoogle Scholar
(3) Humphreys, J. F., Groups with modular irreducible representations of bounded degree, J. London Math. Soc. 5 (1972), 233–234.CrossRefGoogle Scholar
(4) Huppert, B., Endliche Gruppen I. (Springer-Verlag, Berlin, 1967).CrossRefGoogle Scholar
(5) Richen, F., Decomposition numbers of p-solvable groups, Proc. Amer. Math. Soc. 25 (1970), 100–104.Google Scholar