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We determine the automorphism group of the 2-groups J, [Formula: see text] and [Formula: see text], where [Formula: see text] and [Formula: see text]. Explicit multiplication, power, and commutator formulas for J, H and K are given, and used in the calculation of [Formula: see text], [Formula: see text] and [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196724500279","type":"journal-article","created":{"date-parts":[[2024,5,10]],"date-time":"2024-05-10T03:14:38Z","timestamp":1715310878000},"page":"689-737","source":"Crossref","is-referenced-by-count":0,"title":["The automorphism group of finite 2-groups associated to the Macdonald group"],"prefix":"10.1142","volume":"34","author":[{"given":"Alexander Montoya","family":"Ocampo","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Regina, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fernando","family":"Szechtman","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Regina, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,7,16]]},"reference":[{"key":"S0218196724500279BIB001","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171285000928"},{"key":"S0218196724500279BIB002","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-1991-046-5"},{"key":"S0218196724500279BIB003","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-2011-062-8"},{"key":"S0218196724500279BIB004","first-page":"45","volume":"6","author":"Abdolzadeh H.","year":"2017","journal-title":"Int. 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