On Shalev's conjecture for type 𝐴�𝑛� and 2𝐴�𝑛�

dc.contributor.author	Galt, Alexey	en_US
dc.contributor.author	Kulshrestha, Amit	en_US
dc.contributor.author	SINGH, ANUPAM KUMAR	en_US
dc.contributor.author	Vdovin, Evgeny	en_US
dc.date.accessioned	2019-07-24T05:29:57Z
dc.date.available	2019-07-24T05:29:57Z
dc.date.issued	2019-07	en_US
dc.identifier.citation	Journal of Group Theory, 22(4), 713-728.	en_US
dc.identifier.issn	1433-5883	en_US
dc.identifier.issn	1435-4446	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3748
dc.identifier.uri	https://doi.org/10.1515/jgth-2018-0142	en_US
dc.description.abstract	In the paper, we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that, if G≃PSLεn(q), then, for every power word of type xM, there exist constants c and N such that \|ω(G)\|>cln(n)\|G\|n whenever \|G\|>N.	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.subject	Word Maps	en_US
dc.subject	Waring Problem	en_US
dc.subject	2019	en_US
dc.title	On Shalev's conjecture for type 𝐴𝑛 and 2𝐴𝑛	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Group Theory	en_US
dc.publication.originofpublisher	Foreign	en_US