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Researchers

Dr John Cossey

ANU College of Science

E: John.Cossey@anu.edu.au

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Areas of expertise

Group Theory And Generalisations 010105

Publications

Cossey, J & Li, Y 2018, 'On the p-length of the mutually permutable product of two p-soluble groups', Archiv der Mathematik, vol. 110, pp. 533-537.
Ballester-Bolinches, A, Cossey, J & Li, Y 2018, 'On a class of finite soluble groups', Journal of Group Theory, vol. 21, no. 5, pp. 839-846pp.
Cossey, J & Li, Y 2018, 'On the structure of a mutually permutable product of finite groups', Acta Mathematica Hungarica, vol. 154, no. 2, pp. 525-529.
Ballester-Bolinches, A, Cossey, J, Kamornikov, S et al. 2018, 'On two questions from the Kourovka Notebook', Journal of Algebra, vol. 499, pp. 438-449pp.
Ballester-Bolinches, A, Cossey, J, Meng, H et al. 2018, 'On the Prufer rank of mutually permutable products of abelian groups', Annali di Matematica Pura ed Applicata, vol. 198, pp. 811-819.
Cossey, J & Stonehewer, S 2015, 'Generalizing quasinormality', International Journal of Group Theory, vol. 4, no. 1, pp. 33-39.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2014, 'On the abnormal structure of finite groups', Revista Matematica Iberoamericana, vol. 30, no. 1, pp. 13-24.
Cossey, J 2014, 'Special maximal subgroups of p-groups', Bulletin of the Australian Mathematical Society, vol. 89, no. 3, pp. 415-419.
Ballester-Bolinches, A, Cossey, J & Zhang, L 2014, 'Generalised norms in finite soluble groups', Journal of Algebra, vol. 402, pp. 392-405.
Ballester-Bolinches, A, Cossey, J & Li, Y 2013, 'Mutually permutable products and conjugacy classes', Monatshefte fur Mathematik, vol. 170, no. 3-4, pp. 305-310.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2013, 'Graphs and classes of finite groups', Journal title not found SCOPUS, vol. 33, no. 1, pp. 89-94.
Ballester-Bolinches, A & Cossey, J 2012, 'Graphs, partitions and classes of groups', Monatshefte fur Mathematik, vol. 166, no. 3-4, pp. 309-318.
Ballester-Bolinches, A & Cossey, J 2012, 'On non-commuting sets in finite soluble CC-groups', Publicacions Matematiques, vol. 56, no. 2, pp. 467-471.
Cossey, J & Stonehewer, S 2011, 'Abelian quasinormal subgroups of finite p-groups', Journal of Algebra, vol. 326, no. 1, pp. 113-121.
Cossey, J & Stonehewer, S 2011, 'On the Rarity of Quasinormal Subgroups', Rendiconti del Seminario della Universita di Padova, vol. 125, pp. 81-105.
Ballester-Bolinches, A, Cossey, J & Soler-Escriva, X 2010, 'On a permutability property of subgroups of finite soluble groups', Communications in Contemporary Mathematics, vol. 12, no. 2, pp. 207-221.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2009, 'A characterization via graphs of the soluble groups in which permutability is transitive', Algebra and Discrete Mathematics, vol. 4, no. 4, pp. 10-17.
Ballester-Bolinches, A & Cossey, J 2009, 'Finite groups with subgroups supersoluble or subnormal', Journal of Algebra, vol. 321, no. 7, pp. 2042-2052.
Ballester-Bolinches, A, Beidleman, J, Cossey, J et al 2009, 'Permutable subnormal subgroups of finite groups', Archiv der Mathematik, vol. 92, pp. 549-557.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2009, 'On a graph related to permutability in finite groups', Annali di Matematica Pura ed Applicata, vol. Online 4 December 2009, pp. [4 pages].
Cossey, J, Stonehewer, S & Zacher, G 2008, 'Quasinormal subgroups of order p^2', Ricerche di matematica, vol. 57, pp. 127-135.
Ballester-Bolinches, A, Beidleman, J, Cossey, J et al 2007, 'The Structure of Mutually Permutable Products of Finite Nilpotent Groups', International Journal of Algebra and Computation, vol. 17, no. 5 & 6, pp. 895-904.
Cossey, J, Ballester-Bolinches, A, Beidleman, J et al 2006, 'Mutually Permutable Products of two Nilpotent Groups', Rendiconti del Seminario della Universita di Padova, vol. 115, pp. 273-279.
Ballester-Bolinches, A & Cossey, J 2005, 'Totally Permutable Products of Finite Groups Satisfying SC or PST', Monatshefte fur Mathematik, vol. 145, pp. 89-94.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2005, 'On totally permutable products of finite groups', Journal of Algebra, vol. 293, pp. 269-278.
Ballester-Bolinches, A, Cossey, J & Pedraza-Aguilera, M 2005, 'On mutually permutable products of finite groups', Journal of Algebra, vol. 294, no. 1, pp. 127-35.
Alejandre, M, Ballester-Bolinches, A & Cossey, J 2004, 'Permutable products of supersoluble groups', Journal of Algebra, vol. 276, pp. 453-461.
Alejandre, M, Ballester-Bolinches, A, Cossey, J et al 2004, 'On some permutable products of supersoluble groups', Revista Matematica Iberoamericana, vol. 20, no. 2, pp. 413-425.
Ali, A & Cossey, J 2004, 'Abelian groups as inner mapping groups of loops', Bulletin of the Australian Mathematical Society, vol. 70, no. 3, pp. 481-488.
Cossey, J & Stonehewer, S 2004, 'The embedding of a cyclic permutable subgroup in a finite group II', Proceedings of the Edinburgh Mathematical Society, vol. 47, pp. 101-109.
Ballester-Bolinches, A, Cossey, J & Esteban-Romero, R 2003, 'On finite groups generated by strongly cosubnormal subgroups', Journal of Algebra, vol. 259, pp. 226-234.
Cossey, J & Stonehewer, S 2003, 'The Embedding of a Cyclic Permutable Subgroup in a Finite Group', Illinois Journal of Mathematics, vol. 47, pp. 89-111.
Ballester-Bolinches, A, Cossey, J & Ezquerro, L 2001, 'On Formations of Finite Groups with the Wielandt Property for Residuals', Journal of Algebra, vol. 243, pp. 717-737.
Ballester-Bolinches, A, Cossey, J & Pedraza-Aguilera, M 2001, 'On products of finite supersoluble groups', Communications in Algebra, vol. 29, pp. 3145-3152.
Cossey, J & Stonehewer, S 2001, 'Cyclic Permutable Subgroups of Finite Groups', Journal of the Australian Mathematical Society, vol. 71, pp. 169-176.
Cossey, J & Hawkes, T 2000, 'On the Largest Conjugacy Class Size in a Finite Group', Rendiconti del Seminario della Universita di Padova, vol. 103, pp. 171-179.
Almazar, V & Cossey, J 1999, 'Automorphisms fixing subnormal subgroups of polycyclic groups', Glasgow Mathematical Journal, vol. 41, pp. 379-384.
Cossey, J & Hawkes, T 1999, 'Sets of p-Powers as Conjugacy Class Sizes', Proceedings of the American Mathematical Society, vol. 128, no. 1, pp. 49-51.
Cossey, J & Stonehewer, S 1999, 'Products of finite nilpotent groups', Communications in Algebra, vol. 27, no. 1, pp. 289-300.
Cossey, J & Wang, Y 1999, 'Finite dinilpotent groups of small derived length', Journal of the Australian Mathematical Society, vol. 67, no. Series A, pp. 318-328.
Cossey, J & Wang, Y 1999, 'Remarks on the length of conjugacy classes of finite groups', Communications in Algebra, vol. 27, no. 9, pp. 4347-4353.

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