Further rigid triples of classes in $G_{2}$

Conder, Matthew; Litterick, Alastair

dc.contributor.author	Conder, Matthew
dc.contributor.author	Litterick, Alastair
dc.date.accessioned	2022-05-09T22:28:25Z
dc.date.available	2022-05-09T22:28:25Z
dc.date.issued	2019-12-1
dc.identifier.citation	International Journal of Group Theory 8(4):5-9 01 Dec 2019
dc.identifier.issn	2251-7650
dc.identifier.uri	https://hdl.handle.net/2292/59105
dc.description.abstract	We establish the existence of two rigid triples of conjugacy classes in the algebraic group $G_{2}$ in characteristic $5$, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups $G_{2}(5^n)$ are not $(2,4,5)$-generated, confirming a conjecture of Marion in this case.
dc.language	English
dc.publisher	UNIV ISFAHAN, VICE PRESIDENT RESEARCH & TECHNOLOGY
dc.relation.ispartofseries	International Journal of Group Theory
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	Science & Technology
dc.subject	Physical Sciences
dc.subject	Mathematics
dc.subject	triangle groups
dc.subject	finite groups of Lie type
dc.subject	representation varieties
dc.subject	math.GR
dc.subject	math.GR
dc.subject	20G40 (Primary), 20D06 (Secondary)
dc.subject	0101 Pure Mathematics
dc.title	Further rigid triples of classes in $G_{2}$
dc.type	Journal Article
dc.identifier.doi	10.22108/ijgt.2018.111467.1481
pubs.issue	4
pubs.begin-page	5
pubs.volume	8
dc.date.updated	2022-04-04T02:01:50Z
dc.rights.holder	Copyright: University of Isfahan	en
pubs.author-url	http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000467156900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e41486220adb198d0efde5a3b153e7d
pubs.end-page	9
pubs.publication-status	Published
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en
pubs.subtype	Article
pubs.subtype	Journal
pubs.elements-id	830334
dc.identifier.eissn	2251-7669