dc.contributor.author | Detinko, Alla S. | |
dc.contributor.author | Flannery, Dane L. | |
dc.date.accessioned | 2018-09-20T16:05:50Z | |
dc.date.available | 2018-09-20T16:05:50Z | |
dc.date.issued | 2008-06-18 | |
dc.identifier.citation | Detinko, Alla S. Flannery, Dane L. (2008). Periodic subgroups of projective linear groups in positive characteristic. Central European Journal of Mathematics 6 (3), 384-392 | |
dc.identifier.issn | 1895-1074,1644-3616 | |
dc.identifier.uri | http://hdl.handle.net/10379/11159 | |
dc.description.abstract | We classify the maximal irreducible periodic subgroups of PGL(q; F), where F is a field of positive characteristic p transcendental over its prime subfield, q not equal p is prime, and F-x has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q; F) containing the centre Fx1(q) of GL(q; F), such that G/Fx1(q) is a maximal periodic subgroup of PGL(q; F), and if H is another group of this kind then H is GL(q; F)-conjugate to a group in the list. We give criteria for determining when two listed groups are conjugate, and show that a maximal irreducible periodic subgroup of PGL(q; F) is self-normalising. | |
dc.publisher | Walter de Gruyter GmbH | |
dc.relation.ispartof | Central European Journal of Mathematics | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | linear group | |
dc.subject | periodic group | |
dc.subject | projective general linear group | |
dc.subject | field | |
dc.subject | classification | |
dc.subject | prime degree | |
dc.title | Periodic subgroups of projective linear groups in positive characteristic | |
dc.type | Article | |
dc.identifier.doi | 10.2478/s11533-008-0033-9 | |
dc.local.publishedsource | http://larmor.nuigalway.ie/%7Edane/pap-06.pdf | |
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