The maximal subgroups of F4 , E6 and 2E6 and related almost simple groups, Errata

David A. Craven, University of Birmingham

2nd April, 2024

I distinguish four types of corrections, in order of increasing seriousness:

  • (Extra) Additional information that was not available at the time of writing, or that I did not know about.

  • (Improve) Typographical issues, where what is written is still correct, but there is a nicer way of phrasing it, or I could choose a better symbol.

  • (Typo) Typographical errors, where I have spelled a word wrongly, used the wrong symbol, and so on.

  • (Error) Errors in proofs or statements.

When I give each correction, I will label it with one of these monikers.

  • (i) (Error) In Table 8 there is a torus normalizer with structure \((q^2+1)^2\cdot (4 \circ \mathrm {GL}_2(3))\). The group \(4 \circ \mathrm {GL}_2(3)\) is not a subgroup of the Weyl group of type \(F_4\), and the correct group should be \(\mathrm {SL}_2(3)\rtimes 4\), which is the centralizer of an element of order \(4\) in \(W(F_4)\). The original paper of Liebeck–Saxl–Seitz also contains this error, and I copied their tables over without double-checking.

    Thanks to Mikko Korhonen for noticing this.