Polyhedral groups in G2(C)

Vincent Knibbeler; Sara Lombardo; Casper Oelen

doi:10.1017/S0017089522000283

Polyhedral groups in G₂(C)

Vincent Knibbeler
, Sara Lombardo^*
, Casper Oelen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

44 Downloads (Pure)

Abstract

We classify embeddings of the finite groups A₄, S₄ and A₅ in the Lie group G₂(C) up to conjugation.

Original language	English
Pages (from-to)	S123-S128
Number of pages	6
Journal	Glasgow Mathematical Journal
Volume	65
Issue number	Special Issue S1
Early online date	11 Aug 2022
DOIs	https://doi.org/10.1017/S0017089522000283
Publication status	Published - May 2023

Keywords

embeddings of finite groups
exceptional Lie groups
representations of finite groups

ASJC Scopus subject areas

General Mathematics

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10.1017/S0017089522000283Licence: CC BY

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Cite this

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title = "Polyhedral groups in G2(C)",

abstract = "We classify embeddings of the finite groups A4, S4 and A5 in the Lie group G2(C) up to conjugation.",

keywords = "embeddings of finite groups, exceptional Lie groups, representations of finite groups",

author = "Vincent Knibbeler and Sara Lombardo and Casper Oelen",

note = "Funding Information: This work is supported by the Engineering and Physical Sciences Research Council (EPSRC): the work of SL and VK is supported by the grant EP/V048546/1; the work of CO is supported by the grant EP/W522569/1. 1 Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust.",

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AU - Lombardo, Sara

AU - Oelen, Casper

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KW - embeddings of finite groups

KW - exceptional Lie groups

KW - representations of finite groups

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