The Congruence Subgroup Property Does Not Imply Invariable Generation

Tsachik Gelander; Chen Meiri

doi:10.1093/imrn/rnw137

The Congruence Subgroup Property Does Not Imply Invariable Generation

Tsachik Gelander, Chen Meiri

Weizmann Institute of Science, Technion - Israel Institute of Technology

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

Abstract

It was suggested in [5] that for arithmetic groups Invariable Generation is equivalent to the Congruence Subgroup Property. In this paper, we dismiss this conjecture by proving that certain arithmetic groups which possess the later property do not possess the first one.

Original language	English
Pages (from-to)	4625-4638
Number of pages	14
Journal	International Mathematics Research Notices
Volume	2017
Issue number	15
DOIs	https://doi.org/10.1093/imrn/rnw137
State	Published - 1 Aug 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnw137

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title = "The Congruence Subgroup Property Does Not Imply Invariable Generation",

abstract = "It was suggested in [5] that for arithmetic groups Invariable Generation is equivalent to the Congruence Subgroup Property. In this paper, we dismiss this conjecture by proving that certain arithmetic groups which possess the later property do not possess the first one.",

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DO - 10.1093/imrn/rnw137

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JO - International Mathematics Research Notices

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The Congruence Subgroup Property Does Not Imply Invariable Generation

Abstract

All Science Journal Classification (ASJC) codes

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