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Gill, Nick; Giudici, Michael and Spiga, Pablo
(2024).
DOI: https://doi.org/10.1007/s10013-023-00635-1
Abstract
We prove a natural generalization of Szep's conjecture. Given an almost simple group G with socle not isomorphic to an orthogonal group having Witt defect zero, we classify all possible group elements with
, where we are denoting by
and by
the normalizers of the cyclic subgroups
and
. As a consequence of this result, we classify all possible group elements
with
.