{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T07:47:05Z","timestamp":1680335225359},"reference-count":34,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,12]]},"abstract":"<jats:p> Let G be a graph product of a collection of groups and H be the direct product of the same collection of groups, so that there is a natural surjection p : G \u2192 H. The kernel of this map p is called a graph product kernel. We prove that a graph product kernel of countable groups is special, and a graph product of finite or cyclic groups is virtually cocompact special in the sense of Haglund and Wise. The proof of this yields conditions for a graph over which the graph product of arbitrary nontrivial groups (or some cyclic groups, or some finite groups) contains a hyperbolic surface group. In particular, the graph product of arbitrary nontrivial groups over a cycle of length at least five, or over its opposite graph, contains a hyperbolic surface group. For the case when the defining graphs have at most seven vertices, we completely characterize right-angled Coxeter groups with hyperbolic surface subgroups. <\/jats:p>","DOI":"10.1142\/s0218196712400036","type":"journal-article","created":{"date-parts":[[2012,9,27]],"date-time":"2012-09-27T20:00:35Z","timestamp":1348776035000},"page":"1240003","source":"Crossref","is-referenced-by-count":2,"title":["SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS"],"prefix":"10.1142","volume":"22","author":[{"given":"SANG-HYUN","family":"KIM","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, KAIST, Daejeon 305-701, Republic of Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,1,4]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1112\/jtopol\/jtn003"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-70.1.56"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.5402\/2011\/102029"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12494-9"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2008.12.1995"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196700000479"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-007-9148-6"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1215\/ijm\/1299679748","volume":"54","author":"Charney R.","year":"2010","journal-title":"Illinois J. 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