Selected Publications

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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, 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, 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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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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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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2015
Araújo, João, Wolfram Bentz, and Janusz Konieczny. "The commuting graph of the symmetric inverse semigroup." Israel J. Math.. 207 (2015): 103-149. AbstractWebsite
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Araújo, João, and Peter J. Cameron. "Permutation groups and transformation semigroups: results and problems." Groups {S}t {A}ndrews 2013. Vol. 422. London Math. Soc. Lecture Note Ser., 422. Cambridge Univ. Press, Cambridge, 2015. 128-141. Abstract
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Araújo, João, Wolfram Bentz, James D. Mitchell, and Csaba Schneider. "The rank of the semigroup of transformations stabilising a partition of a finite set." Math. Proc. Cambridge Philos. Soc.. 159 (2015): 339-353. AbstractWebsite
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2014
Araújo, João, Janusz Konieczny, and António Malheiro. "Conjugation in semigroups." J. Algebra. 403 (2014): 93-134. AbstractWebsite
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Araújo, João, and Michael Kinyon. "Inverse semigroups with idempotent-fixing automorphisms." Semigroup Forum. 89 (2014): 469-474. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Janusz Konieczny. "The largest subsemilattices of the endomorphism monoid of an independence algebra." Linear Algebra Appl.. 458 (2014): 60-79. AbstractWebsite
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Araújo, João, and Peter J. Cameron. "Primitive groups synchronize non-uniform maps of extreme ranks." J. Combin. Theory Ser. B. 106 (2014): 98-114. AbstractWebsite
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2013
Araújo, João, Michael Kinyon, and António Malheiro. "A characterization of adequate semigroups by forbidden subsemigroups." Proc. Roy. Soc. Edinburgh Sect. A. 143 (2013): 1115-1122. AbstractWebsite
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Araújo, João, Peter J. Cameron, James D. Mitchell, and Max Neunhöffer. "The classification of normalizing groups." J. Algebra. 373 (2013): 481-490. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Groups synchronizing a transformation of non-uniform kernel." Theoret. Comput. Sci.. 498 (2013): 1-9. AbstractWebsite
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2011
Araújo, João, Vítor H. Fernandes, Manuel M. Jesus, Victor Maltcev, and James D. Mitchell. "Automorphisms of partial endomorphism semigroups." Publ. Math. Debrecen. 79 (2011): 23-39. AbstractWebsite
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Araújo, João, and Michael Kinyon. "An elegant 3-basis for inverse semigroups." Semigroup Forum. 82 (2011): 319-323. AbstractWebsite
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Araújo, J., J. D. Mitchell, and Csaba Schneider. "Groups that together with any transformation generate regular semigroups for idempotent generated semigroups." J. Algebra. 343 (2011): 93-106. AbstractWebsite
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Araújo, João, and Michael Kinyon. "Independent axiom systems for nearlattices." Czechoslovak Math. J.. 61(136) (2011): 975-992. AbstractWebsite
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Araújo, João, Michael Kinyon, and Janusz Konieczny. "Minimal paths in the commuting graphs of semigroups." European J. Combin.. 32 (2011): 178-197. AbstractWebsite
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Araújo, João, Mário Edmundo, and Steven Givant. "{$v^\ast$}-algebras, independence algebras and logic." Internat. J. Algebra Comput.. 21 (2011): 1237-1257. AbstractWebsite
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2010
Araújo, João, Edward Dobson, and Janusz Konieczny. "Automorphisms of endomorphism semigroups of reflexive digraphs." Math. Nachr.. 283 (2010): 939-964. AbstractWebsite
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