On the distribution of values of certain word maps

Michael Larsen; Aner Shalev

doi:10.1090/tran/6389

On the distribution of values of certain word maps

Michael Larsen, Aner Shalev

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We prove that, for any positive integers m, n, the word map (x, y) → x^myⁿ is almost measure preserving on finite simple groups. This extends the case m = n = 2 obtained in 2009. Along the way we obtain results of independent interest on fibers of word maps and on character values.

Original language	English
Pages (from-to)	1647-1661
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	3
DOIs	https://doi.org/10.1090/tran/6389
State	Published - Mar 2016

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1090/tran/6389

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title = "On the distribution of values of certain word maps",

abstract = "We prove that, for any positive integers m, n, the word map (x, y) → xmyn is almost measure preserving on finite simple groups. This extends the case m = n = 2 obtained in 2009. Along the way we obtain results of independent interest on fibers of word maps and on character values.",

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AB - We prove that, for any positive integers m, n, the word map (x, y) → xmyn is almost measure preserving on finite simple groups. This extends the case m = n = 2 obtained in 2009. Along the way we obtain results of independent interest on fibers of word maps and on character values.

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DO - 10.1090/tran/6389

M3 - مقالة

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EP - 1661

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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On the distribution of values of certain word maps

Abstract

All Science Journal Classification (ASJC) codes

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