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I am looking for a reference for the maximal order of an element in PSL(2, $q$), where $q$ is prime power.

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    $\begingroup$ Could you perhaps give a bit more background or motivation to this question? $\endgroup$
    – Yemon Choi
    Feb 16, 2013 at 17:55

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A standard reference for this type of results is

Bertram Huppert: Endliche Gruppen I, Band 134 der Grundlehren der mathematischen Wissenschaften, 1967, Springer-Verlag.

However I don't have that book at hand, so I cannot check. Another source you might wish to check is

Jean Dieudonne: La Geometrie des Groupes Classiques, Ergebnisse der Mathematik und ihrer Grenzgebiete 5(1963).

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  • $\begingroup$ I have edited my answer, giving you some hints where to look. However I don't have the books at hand, so I cannot check. $\endgroup$
    – Stefan Kohl
    Feb 16, 2013 at 11:24

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