{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T19:41:22Z","timestamp":1707939682870},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":4334,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1995,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let<jats:italic>M<\/jats:italic>be a countable recursively saturated model of PA and<jats:italic>H<\/jats:italic>an open subgroup of<jats:italic>G<\/jats:italic>= Aut(<jats:italic>M<\/jats:italic>). We prove that<jats:italic>I(H)<\/jats:italic>= sup {b \u2208<jats:italic>M<\/jats:italic>: (\u2203\u0192 \u2208<jats:italic>G<\/jats:italic>\\<jats:italic>H<\/jats:italic>) \u2200<jats:italic>u<\/jats:italic>&lt;<jats:italic>b<\/jats:italic><jats:italic>fu<\/jats:italic>=<jats:italic>u<\/jats:italic>and<jats:italic>J(H)<\/jats:italic>= inf{b \u2208<jats:italic>M<\/jats:italic><jats:italic>H<\/jats:italic>} may be invariant, i. e. fixed by all automorphisms of<jats:italic>M<\/jats:italic>.<\/jats:p>","DOI":"10.1002\/malq.19950410112","type":"journal-article","created":{"date-parts":[[2007,6,3]],"date-time":"2007-06-03T01:57:07Z","timestamp":1180835827000},"page":"138-142","source":"Crossref","is-referenced-by-count":3,"title":["Automorphisms of Countable Recursively Saturated Models of PA: Open Subgroups and Invariant Cuts"],"prefix":"10.1002","volume":"41","author":[{"given":"Henryk","family":"Kotlarski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bozena","family":"Piekart","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198532132.001.0001","volume-title":"Models of Peano Arithmetic. Oxford Logic Guides","author":"Kaye R.","year":"1991"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-65.2.225"},{"key":"e_1_2_1_4_2","unstructured":"Kaye R. A Galois correspondence for countable recursively saturated models of Peano Arithmetic. To appear."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(91)90098-7"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm-129-1-9-15"},{"key":"e_1_2_1_7_2","unstructured":"Kossak R. H.Kotlarski andJ.Schmerl On maximal subgroups of the automorphism group of a countable recursively saturated model of PA.To appear."},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093635835"},{"key":"e_1_2_1_9_2","unstructured":"Kossak R. andJ.Schmerl The automorphism group of an arithmetically saturated model of Peano Arithmetic. In preparation."},{"key":"e_1_2_1_10_2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.4064\/fm-120-3-205-222","article-title":"On elementary cuts in recursively saturated models of Peano Arithmetic","volume":"120","author":"Kotlarski H.","year":"1984","journal-title":"Fund. Math."},{"key":"e_1_2_1_11_2","unstructured":"Kotlarski H. andR.Kaye Automorphisms of models of True Arithmetic: Recognizing some basic open subgroups. To appear."},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19940400113"},{"key":"e_1_2_1_13_2","unstructured":"Lascar D. Automorphism group of a recursively saturated model of Peano Arithmetic.To appear."},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093634654"},{"key":"e_1_2_1_15_2","first-page":"273","volume-title":"Logic Colloquium 80","author":"Smory\u0144ski C.","year":"1982"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273620"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19950410112","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19950410112","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T19:05:40Z","timestamp":1707937540000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19950410112"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["10.1002\/malq.19950410112"],"URL":"https:\/\/doi.org\/10.1002\/malq.19950410112","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}