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Publications:  Prof Thomas Mueller

MUELLER TW(2018). Motzkin Numbers and Related Sequences Modulo Powers of 2. European Journal of Combinatorics vol. 73, 114-137.
10.1016/j.ejc.2018.05.004
https://qmro.qmul.ac.uk/xmlui/handle/123456789/41926
Aivazidis S, Müller TW(2018). Large subgroups in finite groups. Comptes Rendus Mathematique vol. 356, (3) 253-257.
10.1016/j.crma.2018.01.020
https://qmro.qmul.ac.uk/xmlui/handle/123456789/36277
Krattenthaler C, Müller TW(2018). Free subgroup numbers modulo prime powers: The non-periodic case. Journal of Combinatorial Theory. Series A vol. 154, 49-76.
10.1016/j.jcta.2017.08.007
https://qmro.qmul.ac.uk/xmlui/handle/123456789/25403
MUELLER TW, KRATTENTHALER C(2016). NORMALISING GRAPHS OF GROUPS. Monatshefte fuer Mathematik
https://qmro.qmul.ac.uk/xmlui/handle/123456789/18201
Krattenthaler C, Mueller TW(2016). Periodicity of free subgroup numbers modulo prime powers. Journal of Algebra vol. 452, 372-389.
10.1016/j.jalgebra.2015.12.026
https://qmro.qmul.ac.uk/xmlui/handle/123456789/13150
Krattenthaler C, Müller TW(2015). Truncated versions of Dwork's lemma for exponentials of power series and p-divisibility of arithmetic functions. Advances in Mathematics vol. 283, 489-529.
10.1016/j.aim.2015.05.018
https://qmro.qmul.ac.uk/xmlui/handle/123456789/13151
Krattenthaler C, Müller TW(2015). Generalised Apéry numbers modulo 9. Journal of Number Theory vol. 147, 708-720.
10.1016/j.jnt.2014.08.016
https://qmro.qmul.ac.uk/xmlui/handle/123456789/13158
Krattenthaler C, Krattenhaler C, Muller TW(2013). A Riccati differential equation and free subgroup numbers for lifts of PSL_2(Z) modulo prime powers. J. Combin. Theory Ser. A vol. 120, (8) 2039-2063.
10.1016/j.jcta.2013.08.002
Chiswell I, Müller T(2012). A Universal Construction for Groups Acting Freely on Real Trees. Cambridge University Press
Cameron P, Krattenthaler C, Müller TW(2011). Decomposable functors and the exponential principle, II. Séminaire Lotharingien de Combinatoire vol. 61A, Article Article B61Am,
Muller TW, Schlage-Puchta JC(2010). Statistics of isomorphism types in free products. ADV MATH vol. 224, (2) 707-730.
10.1016/j.aim.2009.12.011
Krattenthaler C, Muller TW(2010). DECOMPOSITION NUMBERS FOR FINITE COXETER GROUPS AND GENERALISED NON-CROSSING PARTITIONS. T AM MATH SOC vol. 362, (5) 2723-2787.
10.1090/S0002-9947-09-04981-2
MUELLER TW, Chiswell I(2010). Embedding theorems for tree-free groups. Math. Proc. Cambridge Philos. Soc. vol. 149, (1) 127-146.
10.1017/S0305004110000137
Muller TW, Schlage-Puchta JC(2009). On a new construction in group theory. ABH MATH SEM HAMBURG vol. 79, (2) 193-227.
10.1007/s12188-009-0022-3
Chiswell I, Muller TW, Schlage-Puchta JC(2008). Compactness and local compactness for R-trees. ARCH MATH vol. 91, (4) 372-378.
10.1007/s00013-008-2578-z
Krattenthaler C, Muller TW(2008). Parity patterns associated with lifts of Hecke groups. ABH MATH SEM HAMBURG vol. 78, (1) 99-147.
10.1007/s12188-008-0008-6
Muller TW, Schlage-Puchta JC(2007). Character theory of symmetric groups, subgroup growth of Fuchsian groups, and random walks. ADV MATH vol. 213, (2) 919-982.
10.1016/j.aim.2007.01.016
Muller TW(2006). An arithmetic theorem related to groups of bounded nilpotency class. J ALGEBRA vol. 300, (1) 10-15.
10.1016/j.jalgebra.2005.10.013
Cameron PJ, Muller TW(2005). A descent principle in modular subgroup arithmetic. J PURE APPL ALGEBRA vol. 203, (1-3) 189-203.
10.1016/j.jpaa.2005.03.013
Muller TW, Schlage-Puchta JC(2005). Some examples in the theory of subgroup growth. MONATSH MATH vol. 146, (1) 49-76.
10.1007/s00605-005-0319-y
Muller TW, Schlage-Puchta JC(2005). Normal growth of large groups, II. ARCH MATH vol. 84, (4) 289-291.
10.1007/s00013-004-1201-1
MUELLER TW, Schlage-Puchta JC(2005). Asymptotic stability for sets of polynomials. Acta Math. Hung. vol. 41, 49-76.
Muller TW, Schlage-Puchta JC(2005). Modular arithmetic of free subgroups. FORUM MATH vol. 17, (3) 375-405.
10.1515/form.2005.17.3.375
Muller TW, Schlage-Puchta JC(2004). Classification and statistics of finite index subgroups in free products. ADV MATH vol. 188, (1) 1-50.
10.1016/j.aim.2003.09.005
Cameron PJ, Muller TW(2004). A cohomological property of p-groups. ARCH MATH vol. 82, (3) 200-204.
10.1007/s00013-003-4865-z
Krattenthaler C, Muller TW(2004). Equations in finite semigroups: explicit enumeration and asymptotics of solution numbers. J COMB THEORY A vol. 105, (2) 291-334.
10.1016/j.jeta.2003.12.001
MUELLER TW(2004). Groups: Topological, Combinatorial and Arithmetic Aspects. Cambridge University Press (Cambridge),
Muller TW, Schlage-Puchta JC(2004). On the number of primitive lambda-roots. ACTA ARITH vol. 115, (3) 217-223.
10.4064/aa115-3-2
MUELLER TW(2004). Parity patterns in Hecke groups and Fermat primes. Groups: Topological, Combinatorial and Arithmetic Aspects, Cambridge University Press (Cambridge),
Muller TW, Schlage-Puchta JC(2003). Normal growth of large groups. ARCH MATH vol. 81, (6) 609-613.
10.1007/s00013-003-4768-z
MUELLER TW (2003). Modular subgroup arithmetic. Conference: Groups, Combinatorics and Geometry (Durham 2001)
Muller TW(2003). Modular subgroup arithmetic in free products. FORUM MATH vol. 15, (5) 759-810.
10.1515/form.2003.040
Muller TW, Puchta JC(2003). Parity patterns in one-relator groups. J GROUP THEORY vol. 6, (2) 245-260.
10.1515/jgth.2003.018
Muller TW, Puchta JC(2002). Character theory of symmetric groups and subgroup growth of surface groups. J LOND MATH SOC vol. 66, 623-640.
10.1112/S0024610702003599
Muller TW, Shareshian J(2002). Enumerating representations in finite wreath products II: Explicit formulae. ADV MATH vol. 171, (2) 276-331.
10.1006/aima.2002.2082
Muller TW(2002). Modular subgroup arithmetic and a theorem of Philip Hall. B LOND MATH SOC vol. 34, 587-598.
10.1112/S0024609302001212
MUELLER TW(2001). Five lectures on generalized permutation representations. Matematica Contemporanea vol. 20, 227-272.
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