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Representations and Characters of Groups, Second Edition by Martin Liebeck, Gordon James

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28

Character table of GL(2, q)

We are now going to calculate the character tables of an important infinite series of groups, and one of the exercises will show you how to use the results of this chapter to determine the character tables of infinitely many simple groups. In the last chapter and its exercises, we found the character tables of certain groups of 2 × 2 matrices with entries in image7 and image11. We shall determine the character tables of some matrix groups with entries from an arbitrary finite field. At first sight, this is a daunting task, since ...

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