Singer cycles in 2-modular representations of the group G L n + 1 ( 2 )

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Singer cycles in 2-modular representations of the group G L n + 1 ( 2 )

Zalesski, Alexandre E

Archiv der Mathematik, 01/2018, Volume: 110, Issue: 5

Journal Article

We determine the irreducible 2-modular representations of the group G=GLn+1(2) in which a Singer cycle has eigenvalue 1, and show that in these representations every element g∈G has eigenvalue 1.

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