{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T18:16:21Z","timestamp":1725646581006},"publisher-location":"New York, NY","reference-count":8,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387970196"},{"type":"electronic","value":"9781461396475"}],"license":[{"start":{"date-parts":[[1989,1,1]],"date-time":"1989-01-01T00:00:00Z","timestamp":599616000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1989]]},"DOI":"10.1007\/978-1-4613-9647-5_4","type":"book-chapter","created":{"date-parts":[[2011,12,26]],"date-time":"2011-12-26T22:00:25Z","timestamp":1324936825000},"page":"27-36","source":"Crossref","is-referenced-by-count":2,"title":["Fast Group Membership Using a Strong Generating Test for Permutation Groups"],"prefix":"10.1007","author":[{"given":"Gene","family":"Cooperman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Larry","family":"Finkelstein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"suffix":"Jr.","given":"Paul Walton","family":"Purdom","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"4_CR1","first-page":"272","volume-title":"Proc. 28th IEEE FOCS","author":"L Babai","year":"1988","unstructured":"L. Babai, E. Luks, and A. Seress, \u201cOn Managing Permutation Groups in O(n4logc7n)\u201d,Proc. 28th IEEE FOCS (1988), 272\u2013282."},{"key":"4_CR2","unstructured":"C. A. Brown, G. Cooperman, and L. Finkelstein, \u201cSolving Permutation Problems Using Rewriting Rules\u201d, to appear inProc. of the International Symposium on Symbolic and Algebraic Computation (ISSAC 88, Rome, Italy), Springer Verlag Lecture Notes in Computer Science."},{"key":"4_CR3","unstructured":"G. Cooperman and L.A. Finkelstein, \u201cShort Presentations for Permutation Groups and a Strong Generating Test\u201d, submitted to J. Symbolic Computation."},{"key":"4_CR4","volume-title":"The Theory of Groups","author":"M Hall Jr.","year":"1959","unstructured":"M. Hall, Jr.,The Theory of Groups ,Macmillan, New York, 1959."},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1016\/0196-6774(86)90038-6","volume":"7","author":"M Jerrum","year":"1986","unstructured":"M. Jerrum, \u201cA Compact Representation for Permutation Groups\u201d, J.Algorithms 7 (1986), 60\u201378.","journal-title":"J. Algorithms"},{"key":"4_CR6","volume-title":"Notes on Efficient Representation of Permutation Groups","author":"DE Knuth","year":"1981","unstructured":"D.E. Knuth, \u201cNotes on Efficient Representation of Permutation Groups\u201d (1981), unpublished manuscript."},{"key":"4_CR7","doi-asserted-by":"publisher","first-page":"941","DOI":"10.1090\/S0025-5718-1980-0572868-5","volume":"35","author":"J Leon","year":"1980","unstructured":"J. Leon, \u201cOn an Algorithm for Finding a Base and Strong Generating Set for a Group Given by a Set of Generating Permutations\u201d,Math. Comp. 35 (1980), 941\u2013974.","journal-title":"Math. Comp."},{"key":"4_CR8","volume-title":"Proc. Second Symposium on Symbolic and Algebraic Manipulation","author":"CC Sims","year":"1971","unstructured":"C.C. Sims, \u201cComputation with Permutation Groups\u201d, inProc. Second Symposium on Symbolic and Algebraic Manipulation, edited by S.R. Petrick, ACM, New York, 1971."}],"container-title":["Computers and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4613-9647-5_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,29]],"date-time":"2020-01-29T15:27:49Z","timestamp":1580311669000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-4613-9647-5_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989]]},"ISBN":["9780387970196","9781461396475"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-1-4613-9647-5_4","relation":{},"subject":[],"published":{"date-parts":[[1989]]}}}