**
Mark L. Lewis**

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- 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**(2002), 5485-5503. At EBSCO - 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*,__Algebra 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.
At EBSCO - 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. At EBSCO - Lewis, Mark L.,
*Nuclei and lifts of pi-partial characters*,__Algebra Coll.__,**16**(2009), 167-180. At EBSCO - Lewis, Mark L.,
*The vanishing-off subgroup*,__J. Algebra__**321**(2009), 1313-1325. - Lewis, Mark L.,
*Brauer pairs of Camina p-groups of nilpotence class 2*,__Archiv. der Math.__**92**(2009), 95-98. - Lewis, Mark L.,
*Generalizing Camina groups and their character tables*,__J. Group Theory__**12**(2009), 209-218. At EBSCO - Aziziheris, Kamal and Lewis, Mark L.,
*Counting the number of nonlinear irreducible characters of a finite group*,__Comm. Algebra__**37**(2009), 1572-1578. - Lewis, Mark L. and McVey, John K.,
*Character degree graphs of automorphism groups of characteristically simple groups*,__J. Group Theory__**12**(2009), 387-391. At EBSCO - Lewis, Mark L.,
*A group with three real irreducible characters: answering a question of Moreto and Navarro*,__J. Algebra Appl__.**8**(2009), 453-459.
At EBSCO - Lewis, Mark L.,
*Character tables of groups where all nonlinear characters vanish off the center*, Ischia group theory 2008, Edited by M. Bianchi, P. Longobardi, M. Maj, and C. M. Scoppola, World Scientific, New Jersey, 2009, 174-182. - Lewis, Mark L.,
*Groups where all the irreducible characters are super-monomial*, Proc. AMS**138**(2010), 9-16. - Lewis, Mark L.,
*Lifts of partial characters with respect to a chain of normal subgroups,*__Algebr. Represent. Theory__**13**(2010), 661-672. - Cossey, James P. and Lewis, Mark L.,
*Lifts of partial characters with cyclic defect groups*, J. of Australian Math Society**89**(2010), 145-163. - Cossey, James P., Lewis, Mark L., and Gabriel Navarro,
*The number of lifts of a Brauer character with a normal vertex*, J. Algebra**328**(2011), 484-487. - Lewis, Mark L. and White, Donald L.,
*Nonsolvable groups all of whose character degrees are odd-square-free*, Comm. Algebra**39**(2011), 1273-1292. - Imperatore, Diana and Lewis, Mark L.,
*A condition in finite solvable groups related to cyclic subgroups*, Bull. Aust. Math. Soc.**83**(2011), 267-272. - Cossey, James P. and Lewis, Mark L.,
*Inductive pairs and lifts in solvable groups*, J. Group Theory**14**(2011), 201-212. AT EBSCO - Lewis, Mark L. and White, Donald L.,
*Nonsolvable groups for which no prime divides three character degrees*, J. Algebra**336**(2011), 158-183. - Lewis, Mark L.,
*Inducing pi**-partial characters with a given vertex*, to appear in Ischia Group Theory 2010. Preprint. - Lewis, Mark L. and Meng, Qingyun,
*Square character degree graphs yield direct products*, J. Algebra**49**(2012), 185-200. - Cossey, James P. and Lewis, Mark L.,
*Lifts and vertex pairs in solvable groups*, Proc. Edinburgh Math. Soc**55**(2012), 143-153. Preprint. - Hamblin, James and Lewis, Mark L.,
*Solvable groups satisfying the two-prime hypothesis II*, to appear in Algebr. Represent. Theory. - Lewis, Mark L. and Wilson, James B.,
*Isomorphism in expanding families of indistinguishable groups*, to appear Groups. Complexity. Cryptology. Preprint. - Lewis, Mark L.,
*Bounding an index by the largest character degree of a solvable group*, submitted. Preprint. - Cossey, James P. and Lewis, Mark L.,
*Counting characters in blocks of solvable groups with abelian defect group*, submitted. Preprint. - Lewis, Mark L.,
*p**-group Camina pairs*, submitted. Preprint.

Here is a page that contains all the information I obtained from MAGMA for this paper, and the code I used to find it.

Here is a page with code for MAGMA that I wrote to compute the vanishing off subgroup of a group.

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. and White, Donald L.,
*Corrigendum for "Connectedness of degree graphs of nonsolvable groups" [J. Algebra, 266 (2003) 51-76]*,__J. Algebra__,**290**(2005), 594-598. - Lewis, Mark L.,
*M-groups of order p^aq^b: A theorem of Loukaki*,__J. Algebra Appl.__,**5**(2006), 465-503. At EBSCO - Lewis, Mark L.,
*An overview of graphs associated with character degrees and conjugacy class sizes in finite groups*,__Rocky Mountain J. Math__,**38**(2008), 175-211. - Lewis, Mark L.,
*Corrigendum to ''Determining group structure from sets of irreducible character degrees" [J.Algebra 206 (1998) 235-260]*, J. Algebra**322**(2009), 2251-2252. - Lewis, Mark L.,
*Classifying Camina groups: a theorem of Dark and Scoppola*, submitted.

**Preprint**

- Cossey, James P. and Lewis, Mark L.,
*Counting lifts of Brauer characters*. Deposited at: <arXiv:1007.3011>.

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