Research
a list of publications by J. D. Mitchell
on
MathSciNet
-
(with Z. Mesyan and Y. H. Péresse)
‘Topological transformation monoids’,
submitted;
https://arxiv.org/abs/1809.04590
-
(with James Hyde, Julius Jonusas, Yann H.
Péresse)
‘Sets of universal sequences for the symmetric group and
analogous semigroups’, submitted;
https://arxiv.org/abs/1803.01377
-
(with J. East and M. Gadouleau)
‘Structural aspects of semigroups based on digraphs’,
to appear in Algebraic Combinatorics;
https://arxiv.org/abs/1704.00937
-
(with Jillian D. McPhee and Martyn Quick)
‘Automorphism groups of linearly ordered structures and
endomorphisms of the ordered set (ℚ,≤) of rational numbers’,
to appear in Q. J. Math.;
https://doi.org/10.1093/qmath/hay043
https://arxiv.org/abs/1607.03655
-
(with Igor Dolinka, James East, Athanasios Evangelou, Desmond
FitzGerald, Nicholas Ham, James Hyde, Nicholas Loughlin)
‘Enumeration of idempotents in planar diagram monoids’,
Journal of Algebra 522 (2019) 351-385;
https://doi.org/10.1016/j.jalgebra.2018.11.014
https://arxiv.org/abs/1507.04838
-
(with J. East, A. Egri-Nagy, and Y. Péresse)
‘Computing finite semigroups’,
J. Symbolic Comput. 92 (2019) 110-155;
https://doi.org/10.1016/j.jsc.2018.01.002
https://arxiv.org/abs/1510.01868
-
(with J. East, N. Ruskuc, and M. Torpey)
‘Congruence lattices of finite diagram monoids’,
Adv. Math. 333 (2018) 931-1003;
https://doi.org/10.1016/j.aim.2018.05.016
https://arxiv.org/abs/1709.00142
-
(with C. Donoven and W. Wilson)
‘Computing maximal subsemigroups of a finite semigroup’,
Journal of Algebra 505 (2018) 559-596;
https://doi.org/10.1016/j.jalgebra.2018.01.044
https://arxiv.org/abs/1606.05583
-
(with J. East, J. Kumar, and W. Wilson)
‘Maximal subsemigroups of finite transformation and partition
monoids’, Journal of Algebra 504 (2018) 176-216;
https://doi.org/10.1016/j.jalgebra.2018.01.048
https://arxiv.org/abs/1706.04967
-
(with J. Jonusas and M. Pfeiffer)
‘Two variants of the Froiduire-Pin Algorithm for finite
semigroups’, Portugal. Math. 74 (2018) 173-200;
http://dx.doi.org/10.4171/PM/2001
https://arxiv.org/abs/1704.04084
-
(with J. East and A. Egri-Nagy)
‘Enumerating transformation semigroups’,
Semigroup Forum 95 (2017) 109-125;
http://dx.doi.org/10.1007/s00233-017-9869-2
https://arxiv.org/abs/1403.0274
-
(with J. Jonusas)
‘Topological 2-generation of automorphism groups of countable
ultrahomogeneous graphs’,
Forum Mathematicum 29 (2017) 905-940;
http://dx.doi.org/10.1515/forum-2016-0056
https://arxiv.org/abs/1602.05766
-
(with P. Cameron, M. Gadouleau, and Y. Péresse)
‘Chains of subsemigroups’,
Israel Journal of Mathematics 220 (2017)
479–508;
http://dx.doi.org/10.1007/s11856-017-1523-x
https://arxiv.org/abs/1501.06394
-
(with P. J. Cameron, A. Castillo-Ramirez, and M. Gadouleau)
‘Lengths of words in transformation semigroups generated by
digraphs’, Journal of Algebraic Combinatorics 45
(2017) 149–170;
http://dx.doi.org/10.1007/s10801-016-0703-9
https://arxiv.org/abs/1602.00935
-
(with S. Craik, R. Gray, V. Kilibada, and N. Ruskuc)
‘Ends of semigroups’,
Semigroup Forum 93 (2016) 330-346;
http://dx.doi.org/10.1007/s00233-016-9814-9
https://arxiv.org/abs/1409.1044
-
(with J. Hyde, J. Jonušas, and Y. Péresse)
‘Universal sequences for the order-automorphisms of the
rationals’,
J. Lond. Math. Soc. 94 (2016) 21-37;
http://dx.doi.org/10.1112/jlms/jdw015
https://arxiv.org/abs/1401.7823
-
(with Z. Mesyan)
‘The Structure of a Graph Inverse Semigroup’,
Semigroup Forum 93 (2016) 111-130;
http://dx.doi.org/10.1007/s00233-016-9793-x
https://arxiv.org/abs/1409.4380
-
(with Igor Dolinka, Robert D. Gray, Jillian D. McPhee, and Martyn Quick)
‘Automorphism groups of countable algebraically closed graphs and
endomorphisms of the random graph’,
Math. Proc. Cambridge Philos. Soc. 160 (2016) 437-462;
http://dx.doi.org/10.1017/S030500411500078X
https://arxiv.org/abs/1408.4107
-
(with Z. Mesyan, M. Morayne, and Y. Péresse)
‘Topological graph inverse semigroups’,
Topology and its applications 208 (2016) 106-126;
http://dx.doi.org/10.1016/j.topol.2016.05.012
https://arxiv.org/abs/1306.5388
-
(with I. Dolinka and J. East)
‘Idempotent rank in the endomoprhism monoid of a non-uniform
partition’,
Bull. Aust. Math. Soc. 93 (2016) 73-91;
http://dx.doi.org/10.1017/s0004972715000751
https://arxiv.org/abs/1504.02520
-
(with Araújo, W. Bentz, and C. Schneider)
‘The rank of the semigroup of transformations stabilising a
partition of a finite set’,
Math. Proc. Cambridge Philos. Soc. 159 (2015) 339–353;
http://dx.doi.org/10.1017/S0305004115000389
https://arxiv.org/abs/1404.1598
-
(with J. East and Y. Péresse)
‘Maximal subsemigroups of the semigroup of all mappings on an
infinite set’,
Trans. Amer. Math. Soc. 367 (2015) 1911-1944;
http://dx.doi.org/10.1090/S0002-9947-2014-06110-2
https://arxiv.org/abs/1104.2011
-
(with N. Abu-Ghazalh, Y. Péresse, and N. Ruskuc)
‘A classification of disjoint unions of two or three copies of
the free monogenic semigroup’,
Semigroup Forum 91 (2015) 53-61;
http:/dx.doi.org/10.1007/s00233-014-9638-4
https://arxiv.org/abs/1312.5518
-
(with Julius Jonušas)
‘A finite interval in the subsemigroup lattice of the full
transformation monoid’,
Semigroup Forum 89 (2014) 183-198;
http:/dx.doi.org/10.1007/s00233-013-9537-0
https://arxiv.org/abs/1301.2171
-
(with R. Gray, V. Maltcev, and N. Ruskuc)
‘Ideals and finiteness conditions for
subsemigroups’,
Glasgow Math. J. 56 (2014) 65-86;
http://dx.doi.org/10.1017/S0017089513000086
https://arxiv.org/abs/1204.6602
-
(with A. Egri-Nagy and C. L. Nehaniv)
‘SgpDec: Cascade (De)Compositions of Finite Transformation
Semigroups and Permutation Groups’,
in Mathematical Software – ICMS 2014
Volume 8592 of the series Lecture Notes in Computer Science pp 75-82
http://dx.doi.org/10.1007/978-3-662-44199-2_13
-
(with J. Araújo, P. J. Cameron, and M. Neunhoeffer)
‘A classification of normalizing groups’,
Journal of Algebra 373 (2013) 481-490;
http://dx.doi.org/10.1016/j.jalgebra.2012.08.033
https://arxiv.org/abs/1205.0450
-
(with Y. Péresse)
‘Sierpiński's rank for groups and semigroups’,
Wiad. Mat. 48 (2012) 209-215;
a special issue of
Wiadomości Matematyczne
on the occasion of the European Congress of
Mathematics, Krakow, Poland, 2012.
-
(with A. Distler)
‘
The number of nilpotent semigroups of degree 3
’,
Electronic Journal of Combinatorics 19 (2012) P51;
https://arxiv.org/abs/1201.3529
-
(with Z. Mesyan, M. Morayne, and Y. Péresse)
‘The Bergman-Shelah preorder on transformation semigroups’,
Mathematical Logic Quarterly 58 (2012) 424-433;
http://dx.doi.org/10.1002/malq.201200002
https://arxiv.org/abs/1109.2706
-
(with Attila Egri-Nagy and Chrystopher Nehaniv),
‘Algorithms for the Efficient Calculation of the Holonomy
Decomposition’,
in P. Dömösi & I. Szabolcs (Eds.): Automata and Formal
Languages, 13th International Conference, AFL 2011, Debrecen, Hungary,
August 17-22, 2011, Proceedings, pp. 389-390, 2011 (extended abstract),
ISBN 978-615-5097-19-5.
-
(with J. Araújo, V. H. Fernandes, M. M. Jesus, and V. Maltcev)
‘Automorphisms of partial endomorphism semigroups’,
Publ. Math. Debrecen 79 (2011) 23-39;
http://dx.doi.org/10.5486/PMD.2011.4703
-
(with J. Araújo and C. Schneider)
‘Groups that together with any transformation generate regular
semigroups or idempotent generated semigroups’,
Journal of Algebra 343 (2011) 93-106;
http://dx.doi.org/10.1016/j.jalgebra.2011.07.002
;
see also the paper's webpage
-
(with Y. Péresse)
‘Generating countable sets of surjective functions’,
Fund. Math. 213 (2011) 67-93;
http://dx.doi.org/10.4064/fm213-1-4
-
(with U. Darji)
‘Approximation of automorphisms of the
rationals and the random graph’,
Journal of Group Theory 14 (2011) 361-388;
http://dx.doi.org/10.1515/JGT.2010.057
-
(with M. Morayne and Y. Péresse)
‘Generating the infinite symmetric group using a closed subgroup
and the least number of other elements’,
Proc. Amer. Math. Soc. 139 (2011) 401-405;
http://dx.doi.org/10.1090/S0002-9939-2010-10694-9
-
(with J. Cichoń, M. Morayne, and Y. Péresse)
‘Relative ranks of Lipschitz mappings on countable discrete
metric spaces’,
Topology and its Applications 158 (2011) 412-423;
http://dx.doi.org/10.1016/j.topol.2010.11.020
-
(with M. Morayne, Y. Péresse, and M. Quick)
‘Generating transformation semigroups using endomorphisms of
preorders, graphs, and tolerances’,
Annals of Pure and Applied Logic 161 (2010) 1471-1485;
http://dx.doi.org/10.1016/j.apal.2010.05.001
-
(with V. H. Fernandes, M. M. Jesus, and V. Maltcev)
‘Endomorphisms of the semigroup of order-preserving
mappings’,
Semigroup Forum 81 (2010) 277-285;
http://dx.doi.org/10.1007/s00233-010-9220-7
-
(with J. Araújo, P. von Bünau and M. Neunhoeffer)
‘Computing automorphisms of semigroups’,
J. Symbolic Comput. 45 (2010) 373-392;
http://dx.doi.org/10.1016/j.jsc.2009.10.001
-
(with V. Maltcev and N. Ruskuc)
‘The Bergman property for semigroups’,
J. Lond. Math. Soc. 80 (2009) 212-232;
http://dx.doi.org/10.1112/jlms/jdp025
-
(with S. Huczynska and C. M. Roney-Dougal eds.)
‘Surveys in Combinatorics’,
2009, LMS Lecture Note Series, 365, Cambridge University Press 2009.
http://dx.doi.org/10.1017/CBO9781107325975
-
(with U. Darji)
‘Highly transitive subgroups of the symmetric
group on the natural numbers’,
Colloq. Math. 112 (2008) 163-173;
http://dx.doi.org/10.4064/cm112-1-9
-
(with R. Gray)
‘Largest subsemigroups of the full transformation
monoid’,
Discrete Math. 308 (2008) 4801-4810;
http://dx.doi.org/10.1016/j.disc.2007.08.075
-
(with Y. Péresse and M. Quick)
‘Generating sequences of functions’,
Q. J. Math. 58 (2007) 71-79;
http://dx.doi.org/10.1093/qmath/hal011
-
(with J. M. André and V. H. Fernandes)
‘Largest 2-generated subsemigroups of the symmetric inverse
semigroup’,
Proc. Edinburgh Math. Soc. 50 (2007) 551-561;
http://dx.doi.org/10.1017/S0013091505001598
-
(with J. Araújo)
‘Relative ranks in the monoid of endomorphisms of independence
algebras of infinite rank’,
Monatsh. Math. 151 (2007) 1-10;
http://dx.doi.org/10.1007/s00605-006-0433-5
-
(with J. Cichoń and M. Morayne)
‘Generating continuous mappings with Lipschitz
mappings’,
Trans. Amer. Math. Soc. 359 (2007) 2059-2074;
http://dx.doi.org/10.1090/S0002-9947-06-04026-8
-
(with P. M. Higgins, M. Morayne and N. Ruskuc)
‘Rank properties of endomorphisms of infinite partially ordered
sets’,
Bull. London Math. Soc. 38 (2006) 177-191;
http://dx.doi.org/10.1112/S0024609305018138
-
(with I. Levi)
‘On rank properties of endomorphisms of finite
circular orders’,
Comm. Algebra 34 (2006) 1237-1250;
http://dx.doi.org/10.1080/00927870500454091
-
(with J. Araújo)
‘An elementary proof that every singular nxn matrix is a product
of idempotents’,
Amer. Math. Monthly 112 (2005) 641-645;
http://dx.doi.org/10.2307/30037549
-
‘Turan's graph theorem and maximum independent sets in Brandt
semigroups’,
Proceedings of the Workshop Semigroups and Languages (Lisbon, 2002),
151-163 World Sci. Publishing, 2004;
http://dx.doi.org/10.1142/9789812702616_0009
-
(with J. Araújo and N. Silva)
‘On generating countable sets of endomorphisms’,
Algebra Universalis 50 (2003) 61-67;
http://dx.doi.org/10.1007/s00012-003-1809-1
-
(with J. M. Howie, P. M. Higgins and N. Ruskuc)
‘Countable versus uncountable rank in infinite semigroups of
transformations and relations’,
Proc. Edinburgh Math. Soc. 46 (2003) 531-544;
http://dx.doi.org/10.1017/S0013091502000974
-
(with P. M. Higgins and N. Ruskuc)
‘Generating infinite full transformation semigroups using order
preserving maps’,
Glasgow Math. J. 45 (2003) 557-566;
http://dx.doi.org/10.1017/S0017089503001460
-
(with C. M. Campbell and N. Ruskuc)
‘On the efficiency and deficiency of Rees matrix
semigroups’,
Semigroups, algorithms, automata and languages (Coimbra, 2001),
331-339, World Sci. Publishing, 2002;
http://dx.doi.org/10.1142/9789812776884_0012
-
(with C. M. Campbell and N. Ruskuc)
‘Comparing semigroup and monoid presentations for finite
monoids’,
Months. Math. 134 (2002) 287-293;
http://dx.doi.org/10.1007/s605-002-8263-7
-
(with C. M. Campbell and N. Ruskuc)
‘On defining groups efficiently without inverses’,
Math. Proc. Cambridge Philos. Soc. 133 (2002) 31-36;
http://dx.doi.org/10.1017/S0305004102005959