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**41**.

## Article

Anabanti, Chimere and Aroh, A.B. and Hart, Sarah and Oodo, A.R.
(2021)
A question of Zhou, Shi and Duan on nonpower subgroups of finite groups.
*Quaestiones Mathematicae*
,
ISSN 1607-3606.
(In Press)

Hart, Sarah
(2021)
Ahab's arithmetic; or, the mathematics of Moby-Dick.
*Journal of Humanistic Mathematics* 11
(1),
pp. 4-32.
ISSN 2159-8118.

Hart, Sarah and Mcveagh, Dan
(2020)
Groups with many roots.
*International Journal of Group Theory* 9
(4),
pp. 261-276.
ISSN 2251-7650.

Hart, Sarah and Anabanti, Chimere
(2020)
A question of Mazurov on groups of exponent dividing 12.
*Communications in Algebra*
,
ISSN 0092-7872.
(In Press)

Hart, Sarah and Sbeiti Clarke, Amal
(2020)
Commuting Involution Graphs in Classical Affine Weyl Groups.
*Communications in Algebra*
,
ISSN 0092-7872.
(In Press)

Hart, Sarah and Rowley, P.
(2018)
Maximal length elements of excess zero in finite Coxeter Groups.
*Journal of Group Theory* 21
(5),
ISSN 1435-4446.

Hart, Sarah and Sbeiti Clarke, Amal
(2018)
Commuting involution graphs for $\tilde C_n$.
*Communications in Algebra* 46
(9),
pp. 3965-3985.
ISSN 0092-7872.

Anabanti, C. and Erskine, G. and Hart, Sarah
(2018)
Groups whose locally maximal product-free sets are complete.
*Australasian Journal of Combinatorics* 71
(3),
pp. 544-563.
ISSN 2202-3518.

Hart, Sarah
(2017)
How many elements of a Coxeter group have a unique reduced expression?
*Journal of Group Theory* 20
(5),
pp. 903-910.
ISSN 1435-4446.

Hart, Sarah and Anabanti, Chimere
(2016)
Groups containing small locally maximal product-free sets.
*International Journal of Combinatorics*
,
p. 8939182.
ISSN 1687-9163.

Anabanti, C.S. and Hart, Sarah
(2015)
On a conjecture of Street and Whitehead on locally maximal product-free sets.
*Australasian Journal of Combinatorics* 63
,
pp. 385-398.
ISSN 2202-3518.

Hart, Sarah and Rowley, P.J.
(2015)
On excess in finite Coxeter groups.
*Journal of Pure and Applied Algebra* 219
(5),
pp. 1657-1669.
ISSN 0022-4049.

Hart, Sarah and Hedtke, I. and Mueller-Hannemann, M. and Murthy, S.
(2015)
A fast search algorithm for (m,m,m) triple product property triples and an application for 5 × 5 matrix multiplication.
*Groups Complexity Cryptology* 7
(1),
pp. 31-46.
ISSN 1869-6104.

Hart, Sarah and Rowley, P.J.
(2014)
Corrigendum to "Involution products in Coxeter groups" [J. Group Theory 14 (2011), no. 2, 251–259].
*Journal of Group Theory* 17
(2),
pp. 379-380.
ISSN 1435-4446.

Hart, Sarah and Rowley, P.J.
(2013)
X-posets of certain Coxeter groups.
*Taiwanese Journal of Mathematics* 17
(6),
pp. 1901-1919.
ISSN 1027-5487.

Hart, Sarah and Rowley, P.J.
(2012)
Zero excess and minimal length in finite coxeter groups.
*Journal of Group Theory* 15
(4),
pp. 497-512.
ISSN 1435-4446.

Hart, Sarah and Rowley, P.J.
(2012)
On cosets in coxeter groups.
*Turkish Journal of Mathematics* 36
(1),
pp. 77-93.
ISSN 1300-0098.

Hart, Sarah and Rowley, P.J.
(2012)
Maximal length parabolic subgroups in finite Coxeter groups.
*JP Journal of Algebra, Number Theory and Applications* 24
(2),
pp. 185-202.
ISSN 0972-5555.

Hart, Sarah and Rowley, P.J.
(2011)
Involution products in Coxeter groups.
*Journal of Group Theory* 14
(2),
pp. 251-259.
ISSN 1435-4446.

Hart, Sarah and Rowley, P.J.
(2011)
Lengths of parabolic subgroups of finite coxeter groups.
*International Electronic Journal of Algebra* 9
,
pp. 10-37.
ISSN 1306-6048.

Hart, Sarah and Rowley, P.J.
(2010)
A note on maximal length elements in conjugacy classes of finite coxeter groups.
*Birkbeck Pure Mathematics Preprint Series* 17
,

Hart, Sarah and Rowley, P.J.
(2009)
Poincaré series of cosets in Coxeter groups.
*Algebra Colloquium* 16
(4),
pp. 567-574.
ISSN 1005-3867.

Guidici, M. and Hart, Sarah
(2009)
Small maximal sum-free sets.
*Electronic Journal of Combinatorics* 16
(1),
ISSN 1077-8926.

Bundy, D. and Hart, Sarah
(2009)
The case of equality in the Livingstone-Wagner Theorem.
*Journal of Algebraic Combinatorics* 29
(2),
pp. 215-227.
ISSN 0925-9899.

Bates, C. and Bundy, D. and Hart, Sarah and Rowley, P.J.
(2009)
A note on commuting graphs for symmetric groups.
*Electronic Journal of Combinatrics* 16
(1),
ISSN 1077-8926.

Bates, C. and Bundy, D. and Hart, Sarah and Rowley, P.J.
(2007)
Commuting involution graphs for sporadic simple groups.
*Journal of Algebra* 316
(2),
849 - 868.
ISSN 0021-8693.

Hart, Sarah and Rowley, P.J.
(2007)
Lengths of subsets in coxeter groups.
*Turkish Journal of Mathematics* 31
,
pp. 63-77.
ISSN 1300-0098.

Hart, Sarah and Rowley, P.J. and Bundy, D. and Bates, C.
(2007)
Primitive k-free permutation groups.
*Archiv der Mathematik* 88
(3),
pp. 193-198.
ISSN 0003-889X.

Hart, Sarah
(2006)
Commuting involution graphs for [(A)\tilde]n.
*Archiv der Mathematik* 86
(1),
pp. 16-25.
ISSN 0003-889X.

Bates, C. and Bundy, D. and Perkins, Sarah and Rowley, P. and Hart, Sarah
(2005)
Root differences for A n.
*Archiv der Mathematik* 85
(4),
pp. 313-317.
ISSN 0003-889X.

## Monograph

Hart, Sarah and Sbeiti Clarke, Amal (2018) Commuting Involution Graphs in Classical Affine Weyl Groups. Working Paper. Birkbeck, University of London, London, UK.

Hart, Sarah and Sbeiti Clarke, A. (2018) A note on commuting Involution Graphs in Affine Coxeter Groups. Technical Report. Birkbeck, University of London, London, UK.

Hart, Sarah and Clarke, A.S. (2018) Commuting Involution Graphs in Classical Affne Weyl Groups. Working Paper. Birkbeck, University of London, London, UK.

Anabanti, Chimere and Erskine, G. and Hart, Sarah (2016) Groups whose locally maximal product-free sets are complete. Technical Report. Birkbeck, University of London, London, UK.

Hart, Sarah (2016) How many elements of a Coxeter group have a unique reduced expression? Technical Report. Birkbeck, University of London, London, UK.

Anabanti, Chimere and Hart, Sarah (2015) On a conjecture of Street and Whitehead on locally maximal product-free sets. Technical Report. Birkbeck, University of London, London, UK.

Hart, Sarah and Anabanti, Chimere (2015) A note on filled groups. Technical Report. Birkbeck College, University of London, London, UK.

Hart, Sarah and Anabanti, Chimere (2015) Locally maximal product-free sets of size 3. Technical Report. Birkbeck College, University of London, London, UK.

Hart, Sarah and Rowley, P. (2014) Maximal length elements of excess zero in Finite Coxeter Groups. Technical Report. Birkbeck College, University of London, London, UK.

Hart, Sarah and Rowley, P.J. (2014) Involution statistics in finite coxeter groups. Technical Report. Birkbeck College, University of London, London, UK.

## Other

Hart, Sarah (2019) Mathematical Quotations in Melville’s Moby-Dick. unpublished. (Unpublished)