Nilpotent Group-Counterexamples to Zilbers Conjecture
We construct uncountably categorical 3-nilpotent groups of exponent p > 3. They are not one-based and do not allow the interpretation of an infinite field. Therefore they are counterexamples to Zilbers Conjecture. First 2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we...
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| creator | Baudisch, Andreas |
| description | We construct uncountably categorical 3-nilpotent groups of exponent p > 3.
They are not one-based and do not allow the interpretation of an infinite
field. Therefore they are counterexamples to Zilbers Conjecture. First
2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we
use the method of the additive Collapse developed in [5]. Essentially we work
with 3-nilpotent graded Lie algebras over the field with p elements. |
| doi_str_mv | 10.48550/arxiv.1905.01600 |
| format | Article |
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They are not one-based and do not allow the interpretation of an infinite
field. Therefore they are counterexamples to Zilbers Conjecture. First
2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we
use the method of the additive Collapse developed in [5]. Essentially we work
with 3-nilpotent graded Lie algebras over the field with p elements.</description><identifier>DOI: 10.48550/arxiv.1905.01600</identifier><language>eng</language><subject>Mathematics - Logic</subject><creationdate>2019-05</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1905.01600$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1905.01600$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Baudisch, Andreas</creatorcontrib><title>Nilpotent Group-Counterexamples to Zilbers Conjecture</title><description>We construct uncountably categorical 3-nilpotent groups of exponent p > 3.
They are not one-based and do not allow the interpretation of an infinite
field. Therefore they are counterexamples to Zilbers Conjecture. First
2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we
use the method of the additive Collapse developed in [5]. Essentially we work
with 3-nilpotent graded Lie algebras over the field with p elements.</description><subject>Mathematics - Logic</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrFOwzAUhWEvDFXgATqRF0h6XfvGviOKSotUlaUTS-SSaykojSPHQeXtoaXTkf7h6BNiKaHUFhFWLl6671ISYAmyAlgIPHT9GBIPKd_GMI9FHeYhceSLO489T3kK-UfXnzhOeR2GL_5Mc-RH8eBdP_HTfTNxfN0c612xf9--1S_7wlUGCiZ0DGsk5ZnJWGzXHtBp-Rel1YTeKgvGqpOjVpGuvDeWkLzxVGmrVCae_29v7maM3dnFn-bqb25-9QvU-j9O</recordid><startdate>20190505</startdate><enddate>20190505</enddate><creator>Baudisch, Andreas</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190505</creationdate><title>Nilpotent Group-Counterexamples to Zilbers Conjecture</title><author>Baudisch, Andreas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-e95ae02593fee9785d2f05a41e0218495f8380783ba9d3946ff78959f7f964833</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Logic</topic><toplevel>online_resources</toplevel><creatorcontrib>Baudisch, Andreas</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Baudisch, Andreas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nilpotent Group-Counterexamples to Zilbers Conjecture</atitle><date>2019-05-05</date><risdate>2019</risdate><abstract>We construct uncountably categorical 3-nilpotent groups of exponent p > 3.
They are not one-based and do not allow the interpretation of an infinite
field. Therefore they are counterexamples to Zilbers Conjecture. First
2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we
use the method of the additive Collapse developed in [5]. Essentially we work
with 3-nilpotent graded Lie algebras over the field with p elements.</abstract><doi>10.48550/arxiv.1905.01600</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Logic |
| title | Nilpotent Group-Counterexamples to Zilbers Conjecture |
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