Selected Publications

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2021
Araújo, João, Wolfram Bentz, and Peter J. Cameron. "The existential transversal property: a generalization of homogeneity and its impact on semigroups." Trans. Amer. Math. Soc.. 374 (2021): 1155-1195. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Primitive permutation groups and strongly factorizable transformation semigroups." J. Algebra. 565 (2021): 513-530. AbstractWebsite
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Araújo, João, João Pedro Araújo, Wolfram Bentz, Peter J. Cameron, and Pablo Spiga. "A transversal property for permutation groups motivated by partial transformations." J. Algebra. 573 (2021): 741-759. AbstractWebsite
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2019
Araújo, João. "All publications." (2019).
Araújo, João, Michael Kinyon, and Janusz Konieczny. "Conjugacy in inverse semigroups." J. Algebra. 533 (2019): 142-173. AbstractWebsite
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Araújo, João, Peter J. Cameron, Carlo Casolo, and Francesco Matucci. "Integrals of groups." Israel J. Math.. 234 (2019): 149-178. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Orbits of primitive {$k$}-homogenous groups on {$(n-k)$}-partitions with applications to semigroups." Trans. Amer. Math. Soc.. 371 (2019): 105-136. AbstractWebsite
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Araújo, João, Michael Kinyon, and Yves Robert. "Varieties of regular semigroups with uniquely defined inversion." Port. Math.. 76 (2019): 205-228. AbstractWebsite
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2018
Araújo, João, Wolfram Bentz, Edward Dobson, Janusz Konieczny, and Joy Morris. "Automorphism groups of circulant digraphs with applications to semigroup theory." Combinatorica. 38 (2018): 1-28. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Gracinda M. S. Gomes. "Congruences on direct products of transformation and matrix monoids." Semigroup Forum. 97 (2018): 384-416. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Decidability and independence of conjugacy problems in finitely presented monoids." Theoret. Comput. Sci.. 731 (2018): 88-98. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Decidability and independence of conjugacy problems in finitely presented monoids." Theoret. Comput. Sci.. 731 (2018): 88-98. AbstractWebsite
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2017
Araújo, João, Peter J. Cameron, and Benjamin Steinberg. "Between primitive and 2-transitive: synchronization and its friends." EMS Surv. Math. Sci.. 4 (2017): 101-184. AbstractWebsite
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Araújo, João, Peter J. Cameron, and Benjamin Steinberg. "Between primitive and 2-transitive: synchronization and its friends." EMS Surv. Math. Sci.. 4 (2017): 101-184. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Janusz Konieczny. "Directed graphs of inner translations of semigroups." Semigroup Forum. 94 (2017): 650-673. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Four notions of conjugacy for abstract semigroups." Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017): 1169-1214. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Four notions of conjugacy for abstract semigroups." Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017): 1169-1214. AbstractWebsite
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Araújo, J., J. P. Araújo, P. J. Cameron, T. Dobson, A. Hulpke, and P. Lopes. "Imprimitive permutations in primitive groups." J. Algebra. 486 (2017): 396-416. AbstractWebsite
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Araújo, J., J. P. Araújo, P. J. Cameron, T. Dobson, A. Hulpke, and P. Lopes. "Imprimitive permutations in primitive groups." J. Algebra. 486 (2017): 396-416. AbstractWebsite
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Araújo, João, and Peter J. Cameron. "Special issue on computational algebra." Port. Math.. 74 (2017): 171-172. AbstractWebsite
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2016
André, Jorge, João Araújo, and Peter J. Cameron. "The classification of partition homogeneous groups with applications to semigroup theory." J. Algebra. 452 (2016): 288-310. AbstractWebsite
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André, Jorge, João Araújo, and Peter J. Cameron. "The classification of partition homogeneous groups with applications to semigroup theory." J. Algebra. 452 (2016): 288-310. AbstractWebsite
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Araújo, João, Wolfram Bentz, Peter J. Cameron, Gordon Royle, and Artur Schaefer. "Primitive groups, graph endomorphisms and synchronization." Proc. Lond. Math. Soc. (3). 113 (2016): 829-867. AbstractWebsite
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Araújo, João, Wolfram Bentz, Peter J. Cameron, Gordon Royle, and Artur Schaefer. "Primitive groups, graph endomorphisms and synchronization." Proc. Lond. Math. Soc. (3). 113 (2016): 829-867. AbstractWebsite
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Araújo, João, and Peter J. Cameron. "Two generalizations of homogeneity in groups with applications to regular semigroups." Trans. Amer. Math. Soc.. 368 (2016): 1159-1188. AbstractWebsite
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