Modular representations of metabelian groups
Author:
B. G. Basmaji
Journal:
Trans. Amer. Math. Soc. 169 (1972), 389-399
MSC:
Primary 20C20
DOI:
https://doi.org/10.1090/S0002-9947-1972-0310050-9
Addendum:
Trans. Amer. Math. Soc. 180 (1973), 507-508.
MathSciNet review:
0310050
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Abstract | References | Similar Articles | Additional Information
Abstract: The irreducible modular representations, the blocks, and the defect groups of finite metabelian groups are determined. Also the dimensions of the principal indecomposable modules are computed.
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- [3] Richard Brauer, On blocks and sections in finite groups. I, Amer. J. Math. 89 (1967), 1115–1136. MR 0219637, https://doi.org/10.2307/2373422
- [4] Richard Brauer, Some applications of the theory of blocks of characters of finite groups. IV, J. Algebra 17 (1971), 489–521. MR 0281806, https://doi.org/10.1016/0021-8693(71)90006-8
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- [6] Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1962. MR 0144979
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1972-0310050-9
Keywords:
Modular representations,
blocks,
defect groups,
principal indecomposable modules,
Brauer characters,
decomposition matrices,
Cartan matrices
Article copyright:
© Copyright 1972
American Mathematical Society
