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Gill, Nick; Giudici, Michael and Spiga, Pablo
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
.
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- Item ORO ID
- 87209
- Item Type
- Journal Item
- ISSN
- 2305-2228
- Keywords
- Szep's conjecture; almost simple; group factorisation
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2022 The Authors
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- Depositing User
- Nick Gill