{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T16:46:21Z","timestamp":1648745181110},"reference-count":0,"publisher":"Rinton Press","issue":"3&4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2010,3]]},"abstract":"We reduce a case of the hidden subgroup problem (HSP) in $\\SL$, $\\PSL$, and $\\PGL$, three related families of finite groups of Lie type, to efficiently solvable HSPs in the affine group $\\AGL$. These groups act on projective space in an ``almost'' 3-transitive way, and we use this fact in each group to distinguish conjugates of its Borel (upper triangular) subgroup, which is also the stabilizer subgroup of an element of projective space. Our observation is mainly group-theoretic, and as such breaks little new ground in quantum algorithms. Nonetheless, these appear to be the first positive results on the HSP in finite simple groups such as $\\PSL$.<\/jats:p>","DOI":"10.26421\/qic10.3-4-8","type":"journal-article","created":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T19:51:31Z","timestamp":1615146691000},"page":"282-291","source":"Crossref","is-referenced-by-count":0,"title":["Finding conjugate stabilizer subgroups in $\\PSL$ and related groups"],"prefix":"10.26421","volume":"10","author":[{"given":"DA.","family":"Denney","sequence":"first","affiliation":[]},{"given":"C.","family":"Moore","sequence":"additional","affiliation":[]},{"given":"A.","family":"Russell","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2010,3]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T19:51:40Z","timestamp":1615146700000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC10.3-4-8.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":0,"journal-issue":{"issue":"3&4","published-online":{"date-parts":[[2010,3]]},"published-print":{"date-parts":[[2010,3]]}},"URL":"https:\/\/doi.org\/10.26421\/qic10.3-4-8","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}