- Lewis, Mark L., Solvable groups having almost relatively prime irreducible
character degrees, J. Algebra, 174 (1995), 197-216.
- Lewis, Mark L., Characters of maximal subgroups of M-groups,
J. Algebra, 183 (1996), 864-897.
- Lewis, Mark L., Nonabelian fully-ramified sections,
Can. J. Math., 48 (1996), 997-1017.
- Lewis, Mark L., A family of groups containing a nonabelian fully-ramified
section, J. Algebra, 186 (1996), 578-596.
- Lewis, Mark L., Primitive characters of subgroups of M-groups,
Proc. AMS, 125 (1997), 27-33.
- Lewis, Mark L., Character correspondences and nilpotent fully-ramified
sections, Comm. Algebra, 25 (1997), 3587-3604.
- Lewis, Mark L., Characters, coprime actions, and operator groups ,
Archiv. der Math, 69 (1997), 455-460.
- Lewis, Mark L., Derived Lengths and character degrees ,
Proc. AMS, 126 (1998), 1915-1921.
- Lewis, Mark L., Derived lengths of solvable groups satisfying the
one-prime hypothesis, Comm. Algebra, 26 (1998), 2419-2428.
- Lewis, Mark L., Determining group structure from sets of irreducible
character degrees, J. Algebra, 206 (1998),
235-260.
- Lewis, Mark L., Irreducible character degree sets of solvable groups
, J. Algebra, 206 (1998), 208-234.
- Gagola, Stephen, Jr. and Lewis, Mark L., Squares of character that are the
sum of all irreducible characters, Ill. J. Math, 42
(1998), 655-672.
- Gagola, Stephen, Jr. and Lewis, Mark L., A character theoretic condition
characterizing nilpotent groups, Comm. Algebra, 27 (1999), 1053-1056.
- Isaacs, I. M.; Lewis, Mark L.; and Navarro, Gabriel,
Invariant characters and coprime actions on finite nilpotent groups
, Archiv. der Math., 74 (2000), 401-409.
- Lewis, Mark L., Fitting heights and the character degree graph,
Archiv. der Math., 75 (2000), 338-341.
- Lewis, Mark L., Inducing characters of prime power degree,
Osaka J. Math., 37 (2000), 735-744.
- Lewis, Mark L., Solvable groups whose degree graphs have two connected
components, J. Group Theory, 4 (2001), 255-275.
- Isaacs, I. M., and Lewis, Mark L.,
Derived lengths of solvable groups satisfying the
one-prime hypothesis II, Comm. Algebra, 29 (2001), 2285-2292.
- Lewis, Mark L., Bounding Fitting heights of character degree
graphs, J. Algebra, 242 (2001), 810-818.
- Lewis, Mark L., Derived lengths of solvable groups having five
irreducible character degrees I, Algebras and
Representation Theory, 4 (2001), 469-489.
- Lewis, Mark L. and Riedl, Jeffrey M.,
Affine Semi-linear groups with three irreducible character
degrees, J. Algebra, 264 (2001), 708-720.
- Lewis, Mark L.,
Derived lengths of solvable groups satisfying the
one-prime hypothesis III, Comm. Algebra, 29 (2001), 5755-5767.
- Lewis, Mark L.,
A solvable group whose character degree graph has diameter 3, Proc. AMS ,
130 (2002), 625-630.
- Lewis, Mark L., Derived lengths of solvable groups having five
irreducible character degrees II, Algebras and
Representation Theory, 5 (2002), 277-304.
- Lewis, Mark L., Solvable groups with degree graphs having 5 vertices
and diameter 3, Comm. Algebra, 30 (2003), 5485-5503.
- Lewis, Mark L. and White, Donald L., Connectedness of degree
graphs of nonsolvable groups, J. Algebra, 266 (2003), 51-76.
- Lewis, Mark L.; McVey, John K.; Moreto, Alexander; and Sanus, Lucia,
A graph associated with the pi-character degrees of a group ,
Archiv. der Math, 80 (2003), 570-577.
- Isaacs, I. M. and Lewis, Mark L., Inductive sources and
subnormal subgroups, Archiv. der Math., 83 (2004), 204-207.
- Lewis, Mark L. and White, Donald L., Diameters of degree
graphs of nonsolvable groups, Journal of Algebra ,
283 (2005), 80-92.
- Lewis, Mark L., Classifying character degree graphs with five
vertices. In: Finite Groups 2003. Edited by C. Y. Ho,
P. Sin, P. H. Tiep, and A. Turull. de Gruyter, Berlin, 2004, 247-265.
- Lewis, Mark L., Moreto, Alexander, and Wolf, Thomas R.,
Non-divisibility among character degrees, Journal of Group
Theory, 8 (2005), 561-588.
- Lewis, Mark L., Disconnectedness and diameters of degree graphs
associated with normal subgroups, Comm. Algebra ,
33 (2005), 3419-3437.
- Lewis, Mark L., The number of irreducible character degrees of
solvable groups satisfying the one-prime hypothesis,
Algebras and Representation Theory, 8 (2005), 479-497.
- Lewis, Mark L., Character degree graphs of solvable groups of
Fitting height 2, Bull. Can. Math. Soc.,
49 (2006), 127-133.
- Lewis, Mark L., Obtaining nuclei from chains of normal
subgroups, J. Algebra Appl., 5 (2006), 215-229.
- Isaacs, I. M.; Keller, Thomas Michael; Lewis, Mark L.; and Moreto,
Alexander, Transitive permutation groups all of whose derangements
are involutions, J. Pure Appl. Algebra , 207 (2006),
717-724.
- Lewis, Mark L., Induction and restriction of lifts of pi-partial
characters, Algeba Coll., 13 (2006), 607-616.
- Bianchi, Mariagrazi; Chillag, David; Lewis, Mark L.; and Pacifici,
Emanuele, Character degree graphs that are complete graphs,
Proc. AMS, 135 (2007), 671-676.
- Lewis, Mark L. and White, Donald L., Diameters of degree graphs of
nonsolvable groups II, J. Algebra , 312 (2007),
634-649.
- Lewis, Mark L. and White, Donald L., Nonsolvable groups satisfying
the one-prime hypothesis, Algebras and
Representation Theory, 10 (2007), 379-412.
- Lewis, Mark L., Generalizing of a theorem of Huppert and
Manz, J. Algebra Appl., 6 (2007), 687-695.
Here is a page that contains all the information I obtained
from MAGMA for this paper, and the code I used to find it.
- Cossey, James P. and Lewis, Mark L., Fong characters and chains of
normal subgroups, Archiv. der Math., 89 (2007),
193-201.
- Lewis, Mark L., Subnormal inductive sources and pi-partial
characters, Algebra Coll., 15 (2008), 405-413.
- Lewis, Mark L., Nuclei and lifts of pi-partial characters,
Algebra Coll., 16 (2009), 167-180.
- Lewis, Mark L., The vanishing-off subgroup, J. Algebra
321 (2009), 1313-1325.
Here is a page with code for MAGMA that I wrote to compute the
vanishing off subgroup of a group.
- Lewis, Mark L., Brauer pairs of Camina p-groups of nilpotence
class 2, Arch. der Math. 92 (2009), 95-98.
- Lewis, Mark L., Generalizing Camina groups and their character
tables, J. Group Theory 12 (2009), 209-218.
- Aziziheris, Kamal and Lewis, Mark L., Counting the number of
nonlinear irreducible characters of a finite group, to appear
in Comm. Algebra.
- Lewis, Mark L. and McVey, John K., Character degree graphs of
automorphism groups of characteristically simple groups,
to appear in J. Group Theory.
- Lewis, Mark L., Character tables of groups where all nonlinear
characters vanish off the center, to appear in the proceedings of
Ischia group theory conference 2008.
- Lewis, Mark L., A group with three real irreducible characters:
answering a question of Moreto and Navarro, to appear in
J. Algebra Appl..
Here is the character table for the group I found with three
real irreducible characters. This character table was computed by the computer system MAGMA.
The character table is also available as an rtf-file
and as a pdf-file. If you would like this in some other format,
let me know, and I will see if I can get it into that format. Here is the file for inputing
this group into MAGMA as polycyclic group as an html-file and as an
txt-file.
- Lewis, Mark L., Lifts of partial characters with respect to a chain of normal subgroups
to appear in Algebr. Represent. Theory.
- Lewis, Mark L., Groups where all the irreducible characters are super-monomial, submitted.
- Cossey, James P. and Lewis, Mark L., Inductive pairs and lifts in solvable groups, submitted.
