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Titlebook: Representation Theory of Finite Groups: a Guidebook; David A. Craven Textbook 2019 Springer Nature Switzerland AG 2019 Group representatio

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Representations of Symmetric Groups,ves the irreducible character degrees for symmetric groups. By contrast, the irreducible Brauer character degrees are not known. The branching rule describes the induction of ordinary characters of .. to .., and again in characteristic . things are much more complicated. We then switch to characteri
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The Basics,ontents of a typical undergraduate course at a U.K. university; orthogonality relations, tensor products, the Artin–Wedderburn theorem, and so on. We then shift to finite group theory. The first few paragraphs give some standard facts to fix our notation, and we then talk briefly about simple groups and their entourage.
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Blocks with Non-cyclic Defect Groups,-groups, before looking at the Morita equivalence classes of blocks. We then give the possible Morita equivalence classes of blocks for semidihedral and quaternion defect groups. The last topic is nilpotent blocks, which are those Morita equivalent to the group algebra ., where . is the defect group of the block.
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