Word values in p-adic and adelic groups

Nir Avni; Tsachik Gelander; Martin Kassabov; Aner Shalev

doi:10.1112/blms/bdt063

Word values in p-adic and adelic groups

Nir Avni, Tsachik Gelander, Martin Kassabov, Aner Shalev

Einstein Institute of Mathematics

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

10 Scopus citations

Abstract

Word values and word width in finite simple groups were studied extensively in recent years. In this paper, we study similar problems for simple algebraic groups over the p-adic integers, and sometimes over general local rings. In particular, under some conditions, we establish width 3 results for arbitrary words, as well as partial analogs of Ore conjecture on commutators.

Original language	English
Pages (from-to)	1323-1330
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	45
Issue number	6
DOIs	https://doi.org/10.1112/blms/bdt063
State	Published - Dec 2013

Bibliographical note

Funding Information:
Nir Avni was supported by NSF Grant DMS-0901638, Tsachik Gelander was supported by ERC grant 203418 and ISF grant 1003/11, Martin Kassabov was supported by NSF grant DMS-0900932 and Aner Shalev was supported by advanced ERC grant 247034 and BSF grant 2008194.

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10.1112/blms/bdt063

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Word values in p-adic and adelic groups

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