Susan Hermiller
Publications
Summary
of research results in these publications
Articles
Papers are available as pdf files. Note that these
are the preprint versions, and they differ in varying amounts
from the published versions and arxiv versions
at the references listed below.
- A counterexample to the Bernhard-Jablan Unknotting Conjecture,
with M. Brittenham, arXiv:1705.05985.
- No positive cone in a free product is regular,
with Z. Sunic, Internat. J. Algebra Comput. 27
(2017), 1113-1120.
- Geometry of the word problem for 3-manifold groups,
with M. Brittenham and T. Susse, J. Algebra 499 (2018), 111-150.
- HNN extensions and stackable groups,
with C. Martinez-Perez,
Groups, Geom., Dyn. 12 Issue 3, (2018), 1123-1158.
- Determining
solubility for finitely generated subgroups of PL
homeomorphisms,
with C. Bleak and T. Brough, arXiv:1507.06908.
- Conjugacy languages in groups,
with L. Ciobanu, D. Holt, and S. Rees,
Israel J. Math. 211 (2016), 311-347.
- Homology
and closure properties of autostackable groups,
with M. Brittenham and A. Johnson,
J. Algebra 452 (2016), 596-617.
- Tame
filling invariants for groups,
with M. Brittenham, Internat. J. Algebra Comput.
25 (2015), 813-854.
- A
uniform model for almost convexity and
rewriting systems,
with M.Brittenham, J. Group Theory 18 (2015), 805-828.
- Algorithms and topology for Cayley graphs of groups,
with M. Brittenham and D. Holt,
J. Algebra 415 (2014), 112-136.
- Conjugacy
growth series and languages in groups, with L. Ciobanu,
Trans. Amer. Math. Soc. 366 (2014), 2803-2825.
- 4-moves
and the Dabkowski-Sahi invariant for knots, with M. Brittenham and R. Todd,
J. Knot Theory Ramifications 22 (2013), 1350069.1-20.
- Tame
combing and almost convexity conditions,
with S. Cleary, M. Stein, J. Taback, Math. Z.
269 (2011), 879-915.
- Decision
problems for inverse monoids presented by a single sparse relator,
with S. Lindblad, J. Meakin, Semigroup Forum 81 (2010), 128-144.
- Groups
whose geodesics are locally testable,
with D. F. Holt and S. Rees, Internat. J. Algebra Comput.
18 (2008), 911-923.
- A
characterization of virtually free groups,
with R. H. Gilman, D. F. Holt, and S. Rees,
Arch. Math. 89 (2007), 289-295.
- Poly-free
constructions for right-angled Artin groups,
with Z. Sunic, J.Group Theory 10 (2007), 117-138.
- Star-free
geodesic languages for groups,
with D. F. Holt and S. Rees,
Internat. J. Algebra Comput.17 (2007), 329-345.
- Noncommutative
Gröbner bases for the commutator ideal,
with J. P. McCammond,
Internat. J. Algebra Comput. 16 (2006), 187-202.
- Computations
with Frobenius powers,
with I. Swanson,
Experiment. Math. 14 (2005), 161-173.
- Minimal
almost convexity,
with M. Elder,
J. Group Theory 8 (2005), 239-266.
- Homological
finite derivation type,
with J. M. Alonso,
Internat. J. Algebra Comput. 13 (2003), 341-359.
- Isoperimetric
inequalities for soluble groups,
with J. R. J. Groves,
Geom. Dedicata 88 (2001), 239-254.
- Measuring
the tameness of almost convex groups,
with J. Meier,
Trans. Amer. Math. Soc. 353 (2001), 943-962.
- Monomial
orderings, rewriting systems, and Gröbner
bases for the commutator ideal of a free algebra,
with X. H. Kramer and R. C. Laubenbacher,
J. Symbolic Comput. 27 (1999), 133-141.
- Rewriting
systems and geometric three-manifolds,
with M. Shapiro,
Geom. Dedicata 76 (1999), 211-228.
- Artin
groups, rewriting systems and three-manifolds,
with J. Meier,
J. Pure Appl. Algebra 136 (1999), 141-156.
- Tutorial
on string rewriting systems and extensions of Gröbner bases,
Proceedings of the
Federated Logic Conference '99 Workshop on Gröbner Bases and Rewriting
Techniques, 1999.
- Tame
combings, almost convexity and rewriting systems for groups,
with J. Meier,
Math. Z. 225 (1997), 263-276.
- Algorithms
and geometry for graph products of groups,
with J. Meier,
J. Algebra 171 (1995), 230-257.
- Rewriting
systems for Coxeter groups,
J. Pure Appl. Algebra 92 (1994), 137-148.
- Electronic structure of polyhedral alkanes,
with C. A. Scamehorn and R. M. Pitzer,
J. Chemical Physics 84 (1986), 833-837.
- A regression model for
forecasting microwave radio fading at Palmetto, GA,
with J. A. Schiavone,
IEEE Trans. Antennas and Propagation AP-34 (1986), 936-942.
- A family of random number routines,
with H. B. Thompson,
J. Comput. Math. Science Teaching 4 no.4 (1985), 57-60.
- Computer managed problem drill: The program PROBLEM,
with H. B. Thompson,
J. Comput. Math. Science Teaching 2 no.1 (1982), 25-30.
Conference Proceedings
- Proceedings of the International Conference on Geometric
and Combinatorial Methods in Group Theory and Semigroup Theory 2009,
co-edited with C. Bleak, T. Jajcayova and S. Margolis,
Internat. J. Algebra Comput. 21 (2011), no. 1-2.
- Proceedings of the International Conference on Geometric
and Combinatorial Methods in Group Theory and Semigroup Theory 2000,
co-edited with J. Meakin and M. Sapir,
Internat. J. Algebra Comput. 12 (2002), no. 1-2.