{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T08:39:15Z","timestamp":1775464755113,"version":"3.50.1"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,5]]},"abstract":"<jats:p>Let UT<jats:sub>n<\/jats:sub>(K) be a unitriangular group over a field K. We prove that the group of all class preserving automorphisms of UT<jats:sub>n<\/jats:sub>(K) is equal to Inn ( UT<jats:sub>n<\/jats:sub>(K)) if and only if K is a prime field. Let [Formula: see text], where \u03b3<jats:sub>3<\/jats:sub>( UT<jats:sub>n<\/jats:sub>(\ud835\udd3d<jats:sub>p<jats:sup>m<\/jats:sup><\/jats:sub>)) denotes the third term of the lower central series of UT<jats:sub>n<\/jats:sub>(\ud835\udd3d<jats:sub>p<jats:sup>m<\/jats:sup><\/jats:sub>). We calculate the group of all class preserving automorphisms and class preserving outer automorphisms of [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0218196712500233","type":"journal-article","created":{"date-parts":[[2011,12,29]],"date-time":"2011-12-29T03:16:55Z","timestamp":1325128615000},"page":"1250023","source":"Crossref","is-referenced-by-count":5,"title":["CLASS PRESERVING AUTOMORPHISMS OF UNITRIANGULAR GROUPS"],"prefix":"10.1142","volume":"22","author":[{"given":"VALERIY","family":"BARDAKOV","sequence":"first","affiliation":[{"name":"Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia"},{"name":"Novosibirsk State University, Novosibirsk, 630090, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANDREI","family":"VESNIN","sequence":"additional","affiliation":[{"name":"Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia"},{"name":"Omsk State Technical University, pr. Mira 11, Omsk, 644050, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MANOJ K.","family":"YADAV","sequence":"additional","affiliation":[{"name":"School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad\u2013211 019, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,6]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1070\/IM2011v075n02ABEH002532"},{"key":"rf2","first-page":"239","volume":"32","author":"Boluts' V.","journal-title":"Algebra Logic"},{"key":"rf3","first-page":"40","volume":"11","author":"Burnside W.","journal-title":"Proc. London Math. 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