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## Lewis, Mark L.

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 Author ID: lewis.mark-l Published as: Lewis, M. L.; Lewis, Mark; Lewis, Mark L.; Lewis, Mark Lanning Homepage: http://www.math.kent.edu/~lewis/ External Links: MGP · ORCID
 Documents Indexed: 146 Publications since 1995, including 1 Book
all top 5

#### Co-Authors

 55 single-authored 8 Chen, Xiaoyou 8 Cossey, James P. 7 Burkett, Shawn T. 7 White, Donald L. 6 Isaacs, I. Martin 6 Navarro, Gabriel 6 Tong-Viet, Hung P. 5 Moretó, Alexander 4 Du, Ni 4 Moghaddamfar, Ali Reza 3 Aziziheris, Kamal 3 Croome, Sarah 3 Liu, Yanjun 3 McVey, John K. 3 Meng, Qingyun 3 Wolf, Thomas R. 2 Bianchi, Mariagrazia 2 Gagola, Stephen Michael jun. 2 Ghaffarzadeh, Mehdi 2 Ghasemi, Mohsen 2 Hendrixson, Lisa Rose 2 Iranmanesh, Ali 2 Keller, Thomas Michael 2 Mirzajani, Javad 2 Nguyen, Hung Ngoc 2 Pacifici, Emanuele 2 Tiep Pham Huu 2 Wynn, Casey 1 Akbari, Behzad 1 Bissler, Mark W. 1 Chillag, David 1 Costanzo, David G. 1 Foguel, Tuval S. 1 Goldstein, Daniel G. 1 Gruber, Alexander 1 Guralnick, Robert Michael 1 Hamblin, James 1 He, Liguo 1 Hiller, Josh 1 Hossein-Zadeh, Samaneh 1 Hosseinzadeh, Mohammad Ali 1 Imperatore, Diana 1 Lamar, Jonathan 1 Laubacher, Jacob 1 Lytkina, Dar’ya Viktorovna 1 Maglione, Joshua 1 Mazurov, Viktor Danilovich 1 Naughton, Keeley 1 Passman, Donald Steven 1 Prajapati, Sunil Kumar 1 Riedl, Jeffrey M. 1 Sanus, Lucia 1 Sass, Catherine B. 1 Schaeffer Fry, Amanda A. 1 Shafiei, Farideh 1 Strasser, Benjamin 1 Vasil’ev, Andreĭ Viktorovich 1 Wilson, James B. 1 Zarrin, Mohammad 1 Zvezdina, Mariya A.
all top 5

#### Serials

 22 Journal of Algebra 16 Journal of Group Theory 13 Communications in Algebra 10 Archiv der Mathematik 10 Algebras and Representation Theory 6 Bulletin of the Australian Mathematical Society 6 Monatshefte für Mathematik 6 Proceedings of the American Mathematical Society 6 Journal of Algebra and its Applications 4 Proceedings of the Edinburgh Mathematical Society. Series II 3 Israel Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Algebra Colloquium 3 Advances in Group Theory and Applications 2 Czechoslovak Mathematical Journal 2 Publicationes Mathematicae 2 International Journal of Algebra and Computation 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Group Theory 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Contemporary Mathematics 1 Algebra & Number Theory 1 Groups, Complexity, Cryptology

#### Fields

 143 Group theory and generalizations (20-XX) 29 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 708 times in 341 Documents Cited by Year
Character degree graphs that are complete graphs. Zbl 1112.20006
Bianchi, Mariagrazia; Chillag, David; Lewis, Mark L.; Pacifici, Emanuele
2007
An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. Zbl 1166.20006
Lewis, Mark L.
2008
Solvable groups whose degree graphs have two connected components. Zbl 0998.20009
Lewis, Mark L.
2001
Connectedness of degree graphs of nonsolvable groups. Zbl 1034.20010
Lewis, Mark L.; White, Donald L.
2005
Nonsolvable groups with no prime dividing three character degrees. Zbl 1246.20006
Lewis, Mark L.; White, Donald L.
2011
Solvable groups with character degree graphs having 5 vertices and diameter 3. Zbl 1021.20007
Lewis, Mark L.
2002
Derived lengths of solvable groups having five irreducible character degrees. I. Zbl 1040.20004
Lewis, Mark L.
2001
Determining group structure from sets of irreducible character degrees. Zbl 0915.20003
Lewis, Mark L.
1998
The vanishing-off subgroup. Zbl 1173.20004
Lewis, Mark L.
2009
A solvable group whose character degree graph has diameter $$3$$. Zbl 0991.20010
Lewis, Mark L.
2002
Bounding Fitting heights of character degree graphs. Zbl 0989.20007
Lewis, Mark L.
2001
Classifying character degree graphs with 5 vertices. Zbl 1078.20008
Lewis, Mark L.
2004
Diameters of degree graphs of nonsolvable groups. Zbl 1100.20014
Lewis, Mark L.; White, Donald L.
2005
Solvable groups having almost relatively prime distinct irreducible character degrees. Zbl 0833.20011
Lewis, Mark L.
1995
A character theoretic condition characterizing nilpotent groups. Zbl 0929.20010
Gagola, Stephen M. jun.; Lewis, Mark L.
1999
Groups with exactly two supercharacter theories. Zbl 1369.20005
Burkett, Shawn; Lamar, Jonathan; Lewis, Mark L.; Wynn, Casey
2017
Four-vertex degree graphs of nonsolvable groups. Zbl 1278.20003
Lewis, Mark L.; White, Donald L.
2013
Codegrees and nilpotence class of $$p$$-groups. Zbl 1350.20006
Du, Ni; Lewis, Mark L.
2016
Non-divisibility among character degrees. Zbl 1097.20011
Lewis, Mark L.; Moretó, Alexander; Wolf, Thomas R.
2005
$$p$$-parts of character degrees. Zbl 1335.20006
Lewis, Mark L.; Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.
2015
Nonsolvable groups satisfying the one-prime hypothesis. Zbl 1126.20003
Lewis, Mark L.; White, Donald L.
2007
$$p$$-parts of character degrees and the index of the Fitting subgroup. Zbl 1305.20007
Lewis, Mark L.; Navarro, Gabriel; Wolf, Thomas R.
2014
Isomorphism in expanding families of indistinguishable groups. Zbl 1284.20016
Lewis, Mark L.; Wilson, James B.
2012
Square character degree graphs yield direct products. Zbl 1251.20011
Lewis, Mark L.; Meng, Qingyun
2012
Character degree graphs of automorphism groups of characteristically simple groups. Zbl 1180.20005
Lewis, Mark L.; McVey, John K.
2009
Diameters of degree graphs of nonsolvable groups. II. Zbl 1120.20010
Lewis, Mark L.; White, Donald L.
2007
Fitting heights and the character degree graph. Zbl 0986.20007
Lewis, Mark L.
2000
Derived lengths and character degrees. Zbl 0915.20002
Lewis, Mark L.
1998
Blocks of small defect in alternating groups and squares of Brauer character degrees. Zbl 1391.20007
Chen, Xiaoyou; Cossey, James P.; Lewis, Mark L.; Tong-Viet, Hung P.
2017
A characterization of the prime graphs of solvable groups. Zbl 1331.20029
Gruber, Alexander; Keller, Thomas Michael; Lewis, Mark L.; Naughton, Keeley; Strasser, Benjamin
2015
On $$p$$-group Camina pairs. Zbl 1268.20020
Lewis, Mark L.
2012
Generalizing Camina groups and their character tables. Zbl 1166.20007
Lewis, Mark L.
2009
The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. Zbl 1118.20010
Lewis, Mark L.
2005
Characters of maximal subgroups of $$M$$-groups. Zbl 0868.20003
Lewis, Mark L.
1996
Nonsolvable groups with no prime dividing four character degrees. Zbl 1422.20003
Ghaffarzadeh, Mehdi; Ghasemi, Mohsen; Lewis, Mark L.; Tong-Viet, Hung P.
2017
Finite groups with an irreducible character of large degree. Zbl 1344.20012
Nguyen, Hung Ngoc; Lewis, Mark L.; Schaeffer Fry, Amanda A.
2016
Transitive permutation groups in which all derangements are involutions. Zbl 1111.20002
Isaacs, I. M.; Keller, Thomas Michael; Lewis, Mark L.; Moretó, Alexander
2006
Irreducible character degree sets of solvable groups. Zbl 0911.20009
Lewis, Mark L.
1998
Derived lengths of solvable groups satisfying the one-prime hypothesis. Zbl 0907.20015
Lewis, Mark L.
1998
Nonabelian fully-ramified sections. Zbl 0884.20007
Lewis, Mark L.
1996
Groups where the centers of the irreducible characters form a chain. Zbl 1453.20013
Lewis, Mark L.
2020
Supercharacter theories of semiextraspecial $$p$$-groups and Frobenius groups. Zbl 1447.20006
Lewis, Mark L.; Wynn, Casey
2018
Camina $$p$$-groups that are generalized Frobenius complements. Zbl 1327.20016
Isaacs, I. M.; Lewis, Mark L.
2015
Taketa’s theorem for some character degree sets. Zbl 1266.20008
Aziziheris, Kamal; Lewis, Mark L.
2013
Solvable groups satisfying the two-prime hypothesis. II. Zbl 1267.20012
Hamblin, James; Lewis, Mark L.
2012
Nonsolvable groups all of whose character degrees are odd-square-free. Zbl 1232.20011
Lewis, Mark L.; White, Donald L.
2011
Character degree graphs of solvable groups of Fitting height 2. Zbl 1100.20013
Lewis, Mark L.
2006
Obtaining nuclei from chains of normal subgroups. Zbl 1105.20006
Lewis, Mark L.
2006
Classifying character degree graphs with six vertices. Zbl 07089226
Bissler, Mark W.; Laubacher, Jacob; Lewis, Mark L.
2019
Common divisor character degree graphs of solvable groups with four vertices. Zbl 1327.20023
He, Liguo; Lewis, Mark L.
2015
Classifying Camina groups: a theorem of Dark and Scoppola. Zbl 1309.20029
Lewis, Mark L.
2014
Character tables of groups where all nonlinear irreducible characters vanish off the center. Zbl 1196.20009
Lewis, Mark L.
2009
Generalizing a theorem of Huppert and Manz. Zbl 1146.20004
Lewis, Mark L.
2007
M-groups of order $$p^aq^b$$: a theorem of Loukaki. Zbl 1109.20007
Lewis, Mark L.
2006
Disconnectedness and diameters of degree graphs associated with normal subgroups. Zbl 1104.20005
Lewis, Mark L.
2005
Derived lengths of solvable groups satisfying the one-prime hypothesis. II. Zbl 0989.20005
Isaacs, I. M.; Lewis, Mark L.
2001
Invariant characters and coprime actions on finite nilpotent groups. Zbl 0967.20004
Isaacs, I. M.; Lewis, Mark L.; Navarro, Gabriel
2000
Characters, coprime actions, and operator groups. Zbl 0917.20008
Lewis, Mark L.
1997
Groups where the centers of the irreducible characters form a chain. II. Zbl 07220392
Burkett, Shawn T.; Lewis, Mark L.
2020
$$p$$-groups with $$p^2$$ as a codegree. Zbl 1435.20014
Croome, Sarah; Lewis, Mark L.
2019
Monolithic Brauer characters. Zbl 07133750
Chen, Xiaoyou; Lewis, Mark L.
2019
Solvable groups whose prime divisor character degree graphs are 1-connected. Zbl 07118640
Lewis, Mark L.; Meng, Qingyun
2019
Squares of degrees of Brauer characters and monomial Brauer characters. Zbl 1448.20009
Chen, Xiaoyou; Lewis, Mark L.
2019
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL$$_2(q)$$ for $$q\geq 7$$. Zbl 07031688
Lewis, Mark L.; Liu, Yanjun; Tong-Viet, Hung P.
2018
Itô’s theorem and monomial Brauer characters. Zbl 1412.20003
Chen, Xiaoyou; Lewis, Mark L.
2017
Variations on average character degrees and $$p$$-nilpotence. Zbl 1398.20012
Lewis, Mark L.
2016
Simple groups and the two-prime hypothesis. Zbl 1397.20015
Lewis, Mark L.; Liu, Yanjun
2016
The Taketa problem and character degree graphs with diameter three. Zbl 1331.20005
Lewis, Mark L.; Sass, Catherine B.
2015
On graphs associated with character degrees and conjugacy class sizes of direct products of finite groups. Zbl 1319.20026
2015
Bounding group orders by large character degrees: a question of Snyder. Zbl 1310.20010
Lewis, Mark L.
2014
Groups with exactly one irreducible character of degree divisible by $$p$$. Zbl 1302.20010
Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu
2014
Bounding an index by the largest character degree of a $$p$$-solvable group. Zbl 1300.20010
Lewis, Mark L.
2014
The number of lifts of a Brauer character with a normal vertex. Zbl 1238.20011
Cossey, James P.; Lewis, Mark L.; Navarro, Gabriel
2011
Subnormal inductive sources and $$\pi$$-partial characters. Zbl 1154.20003
Lewis, Mark L.
2008
A graph associated with the $$\pi$$-character degrees of a group. Zbl 1044.20002
Lewis, Mark L.; McVey, John K.; Moretó, Alexander; Sanus, Lucía
2003
Derived lengths of solvable groups having five irreducible character degrees. II. Zbl 1040.20005
Lewis, Mark L.
2002
Derived lengths of solvable groups satisfying the one-prime hypothesis. III. Zbl 1002.20006
Lewis, Mark L.
2001
Affine semi-linear groups with three irreducible character degrees. Zbl 1006.20004
Lewis, Mark L.; Riedl, Jeffrey M.
2001
A family of groups containing a nonabelian fully ramified section. Zbl 0884.20008
Lewis, Mark L.
1996
GVZ-groups, flat groups, and CM-groups. Zbl 07335968
Burkett, Shawn T.; Lewis, Mark L.
2021
A characterization of nested groups in terms of conjugacy classes. Zbl 07226765
Burkett, Shawn T.; Lewis, Mark L.
2020
Simple groups whose Gruenberg-Kegel graph or solvable graph is split. Zbl 07192857
Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.; Vasil’ev, A. V.; Zvezdina, M. A.
2020
Semi-extraspecial groups. Zbl 07083545
Lewis, Mark L.
2019
Generalizing Baer’s norm. Zbl 1441.20010
Lewis, Mark L.; Zarrin, M.
2019
Semi-extraspecial groups with an abelian subgroup of maximal possible order. Zbl 1403.20027
Lewis, Mark L.
2018
Splitting via noncommutativity. Zbl 1404.20017
Lewis, Mark Lanning; Lytkina, Daria V.; Mazurov, Viktor Danilovich; Moghaddamfar, Ali Reza
2018
Centralizers of Camina $$p$$-groups of nilpotence class 3. Zbl 06850113
Lewis, Mark L.
2018
The prime-power hypothesis and solvable groups. Zbl 1386.20005
Du, Ni; Lewis, Mark L.
2017
Brauer characters of $$q'$$-degree. Zbl 1369.20009
Lewis, Mark L.; Tong Viet, Hung P.
2017
The character degree ratio and composition factors of a finite group. Zbl 1347.20007
Lewis, Mark L.; Nguyen, Hung Ngoc
2016
Finite groups with a given set of character degrees. Zbl 1348.20007
Shafiei, Farideh; Iranmanesh, Ali; Lewis, Mark L.; Aziziheris, Kamal
2016
Camina pairs that are not $$p$$-closed. Zbl 1318.20019
Lewis, Mark L.
2015
Bounding the number of irreducible character degrees of a finite group in terms of the largest degree. Zbl 1295.20005
Lewis, Mark L.; Moretó, Alexander
2014
Lifts and vertex pairs in solvable groups. Zbl 1251.20014
Cossey, James P.; Lewis, Mark L.
2012
Lifts of partial characters with cyclic defect groups. Zbl 1248.20009
Cossey, James P.; Lewis, Mark L.
2010
Groups where all the irreducible characters are super-monomial. Zbl 1195.20007
Lewis, Mark L.
2010
Counting the number of nonlinear irreducible characters of a finite group. Zbl 1170.20003
Aziziheris, Kamal; Lewis, Mark L.
2009
Nuclei and lifts of $$\pi$$-partial characters. Zbl 1169.20004
Lewis, Mark L.
2009
Induction and restriction of lifts of $$\pi$$-partial characters. Zbl 1113.20009
Lewis, Mark L.
2006
Inductive sources and subnormal subgroups. Zbl 1055.20006
Isaacs, I. M.; Lewis, Mark L.
2004
GVZ-groups, flat groups, and CM-groups. Zbl 07335968
Burkett, Shawn T.; Lewis, Mark L.
2021
Groups where the centers of the irreducible characters form a chain. Zbl 1453.20013
Lewis, Mark L.
2020
Groups where the centers of the irreducible characters form a chain. II. Zbl 07220392
Burkett, Shawn T.; Lewis, Mark L.
2020
A characterization of nested groups in terms of conjugacy classes. Zbl 07226765
Burkett, Shawn T.; Lewis, Mark L.
2020
Simple groups whose Gruenberg-Kegel graph or solvable graph is split. Zbl 07192857
Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.; Vasil’ev, A. V.; Zvezdina, M. A.
2020
Classifying character degree graphs with six vertices. Zbl 07089226
Bissler, Mark W.; Laubacher, Jacob; Lewis, Mark L.
2019
$$p$$-groups with $$p^2$$ as a codegree. Zbl 1435.20014
Croome, Sarah; Lewis, Mark L.
2019
Monolithic Brauer characters. Zbl 07133750
Chen, Xiaoyou; Lewis, Mark L.
2019
Solvable groups whose prime divisor character degree graphs are 1-connected. Zbl 07118640
Lewis, Mark L.; Meng, Qingyun
2019
Squares of degrees of Brauer characters and monomial Brauer characters. Zbl 1448.20009
Chen, Xiaoyou; Lewis, Mark L.
2019
Semi-extraspecial groups. Zbl 07083545
Lewis, Mark L.
2019
Generalizing Baer’s norm. Zbl 1441.20010
Lewis, Mark L.; Zarrin, M.
2019
Supercharacter theories of semiextraspecial $$p$$-groups and Frobenius groups. Zbl 1447.20006
Lewis, Mark L.; Wynn, Casey
2018
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL$$_2(q)$$ for $$q\geq 7$$. Zbl 07031688
Lewis, Mark L.; Liu, Yanjun; Tong-Viet, Hung P.
2018
Semi-extraspecial groups with an abelian subgroup of maximal possible order. Zbl 1403.20027
Lewis, Mark L.
2018
Splitting via noncommutativity. Zbl 1404.20017
Lewis, Mark Lanning; Lytkina, Daria V.; Mazurov, Viktor Danilovich; Moghaddamfar, Ali Reza
2018
Centralizers of Camina $$p$$-groups of nilpotence class 3. Zbl 06850113
Lewis, Mark L.
2018
Groups with exactly two supercharacter theories. Zbl 1369.20005
Burkett, Shawn; Lamar, Jonathan; Lewis, Mark L.; Wynn, Casey
2017
Blocks of small defect in alternating groups and squares of Brauer character degrees. Zbl 1391.20007
Chen, Xiaoyou; Cossey, James P.; Lewis, Mark L.; Tong-Viet, Hung P.
2017
Nonsolvable groups with no prime dividing four character degrees. Zbl 1422.20003
Ghaffarzadeh, Mehdi; Ghasemi, Mohsen; Lewis, Mark L.; Tong-Viet, Hung P.
2017
Itô’s theorem and monomial Brauer characters. Zbl 1412.20003
Chen, Xiaoyou; Lewis, Mark L.
2017
The prime-power hypothesis and solvable groups. Zbl 1386.20005
Du, Ni; Lewis, Mark L.
2017
Brauer characters of $$q'$$-degree. Zbl 1369.20009
Lewis, Mark L.; Tong Viet, Hung P.
2017
Codegrees and nilpotence class of $$p$$-groups. Zbl 1350.20006
Du, Ni; Lewis, Mark L.
2016
Finite groups with an irreducible character of large degree. Zbl 1344.20012
Nguyen, Hung Ngoc; Lewis, Mark L.; Schaeffer Fry, Amanda A.
2016
Variations on average character degrees and $$p$$-nilpotence. Zbl 1398.20012
Lewis, Mark L.
2016
Simple groups and the two-prime hypothesis. Zbl 1397.20015
Lewis, Mark L.; Liu, Yanjun
2016
The character degree ratio and composition factors of a finite group. Zbl 1347.20007
Lewis, Mark L.; Nguyen, Hung Ngoc
2016
Finite groups with a given set of character degrees. Zbl 1348.20007
Shafiei, Farideh; Iranmanesh, Ali; Lewis, Mark L.; Aziziheris, Kamal
2016
$$p$$-parts of character degrees. Zbl 1335.20006
Lewis, Mark L.; Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.
2015
A characterization of the prime graphs of solvable groups. Zbl 1331.20029
Gruber, Alexander; Keller, Thomas Michael; Lewis, Mark L.; Naughton, Keeley; Strasser, Benjamin
2015
Camina $$p$$-groups that are generalized Frobenius complements. Zbl 1327.20016
Isaacs, I. M.; Lewis, Mark L.
2015
Common divisor character degree graphs of solvable groups with four vertices. Zbl 1327.20023
He, Liguo; Lewis, Mark L.
2015
The Taketa problem and character degree graphs with diameter three. Zbl 1331.20005
Lewis, Mark L.; Sass, Catherine B.
2015
On graphs associated with character degrees and conjugacy class sizes of direct products of finite groups. Zbl 1319.20026
2015
Camina pairs that are not $$p$$-closed. Zbl 1318.20019
Lewis, Mark L.
2015
$$p$$-parts of character degrees and the index of the Fitting subgroup. Zbl 1305.20007
Lewis, Mark L.; Navarro, Gabriel; Wolf, Thomas R.
2014
Classifying Camina groups: a theorem of Dark and Scoppola. Zbl 1309.20029
Lewis, Mark L.
2014
Bounding group orders by large character degrees: a question of Snyder. Zbl 1310.20010
Lewis, Mark L.
2014
Groups with exactly one irreducible character of degree divisible by $$p$$. Zbl 1302.20010
Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu
2014
Bounding an index by the largest character degree of a $$p$$-solvable group. Zbl 1300.20010
Lewis, Mark L.
2014
Bounding the number of irreducible character degrees of a finite group in terms of the largest degree. Zbl 1295.20005
Lewis, Mark L.; Moretó, Alexander
2014
Four-vertex degree graphs of nonsolvable groups. Zbl 1278.20003
Lewis, Mark L.; White, Donald L.
2013
Taketa’s theorem for some character degree sets. Zbl 1266.20008
Aziziheris, Kamal; Lewis, Mark L.
2013
Isomorphism in expanding families of indistinguishable groups. Zbl 1284.20016
Lewis, Mark L.; Wilson, James B.
2012
Square character degree graphs yield direct products. Zbl 1251.20011
Lewis, Mark L.; Meng, Qingyun
2012
On $$p$$-group Camina pairs. Zbl 1268.20020
Lewis, Mark L.
2012
Solvable groups satisfying the two-prime hypothesis. II. Zbl 1267.20012
Hamblin, James; Lewis, Mark L.
2012
Lifts and vertex pairs in solvable groups. Zbl 1251.20014
Cossey, James P.; Lewis, Mark L.
2012
Nonsolvable groups with no prime dividing three character degrees. Zbl 1246.20006
Lewis, Mark L.; White, Donald L.
2011
Nonsolvable groups all of whose character degrees are odd-square-free. Zbl 1232.20011
Lewis, Mark L.; White, Donald L.
2011
The number of lifts of a Brauer character with a normal vertex. Zbl 1238.20011
Cossey, James P.; Lewis, Mark L.; Navarro, Gabriel
2011
Lifts of partial characters with cyclic defect groups. Zbl 1248.20009
Cossey, James P.; Lewis, Mark L.
2010
Groups where all the irreducible characters are super-monomial. Zbl 1195.20007
Lewis, Mark L.
2010
The vanishing-off subgroup. Zbl 1173.20004
Lewis, Mark L.
2009
Character degree graphs of automorphism groups of characteristically simple groups. Zbl 1180.20005
Lewis, Mark L.; McVey, John K.
2009
Generalizing Camina groups and their character tables. Zbl 1166.20007
Lewis, Mark L.
2009
Character tables of groups where all nonlinear irreducible characters vanish off the center. Zbl 1196.20009
Lewis, Mark L.
2009
Counting the number of nonlinear irreducible characters of a finite group. Zbl 1170.20003
Aziziheris, Kamal; Lewis, Mark L.
2009
Nuclei and lifts of $$\pi$$-partial characters. Zbl 1169.20004
Lewis, Mark L.
2009
An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. Zbl 1166.20006
Lewis, Mark L.
2008
Subnormal inductive sources and $$\pi$$-partial characters. Zbl 1154.20003
Lewis, Mark L.
2008
Character degree graphs that are complete graphs. Zbl 1112.20006
Bianchi, Mariagrazia; Chillag, David; Lewis, Mark L.; Pacifici, Emanuele
2007
Nonsolvable groups satisfying the one-prime hypothesis. Zbl 1126.20003
Lewis, Mark L.; White, Donald L.
2007
Diameters of degree graphs of nonsolvable groups. II. Zbl 1120.20010
Lewis, Mark L.; White, Donald L.
2007
Generalizing a theorem of Huppert and Manz. Zbl 1146.20004
Lewis, Mark L.
2007
Transitive permutation groups in which all derangements are involutions. Zbl 1111.20002
Isaacs, I. M.; Keller, Thomas Michael; Lewis, Mark L.; Moretó, Alexander
2006
Character degree graphs of solvable groups of Fitting height 2. Zbl 1100.20013
Lewis, Mark L.
2006
Obtaining nuclei from chains of normal subgroups. Zbl 1105.20006
Lewis, Mark L.
2006
M-groups of order $$p^aq^b$$: a theorem of Loukaki. Zbl 1109.20007
Lewis, Mark L.
2006
Induction and restriction of lifts of $$\pi$$-partial characters. Zbl 1113.20009
Lewis, Mark L.
2006
Connectedness of degree graphs of nonsolvable groups. Zbl 1034.20010
Lewis, Mark L.; White, Donald L.
2005
Diameters of degree graphs of nonsolvable groups. Zbl 1100.20014
Lewis, Mark L.; White, Donald L.
2005
Non-divisibility among character degrees. Zbl 1097.20011
Lewis, Mark L.; Moretó, Alexander; Wolf, Thomas R.
2005
The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. Zbl 1118.20010
Lewis, Mark L.
2005
Disconnectedness and diameters of degree graphs associated with normal subgroups. Zbl 1104.20005
Lewis, Mark L.
2005
Classifying character degree graphs with 5 vertices. Zbl 1078.20008
Lewis, Mark L.
2004
Inductive sources and subnormal subgroups. Zbl 1055.20006
Isaacs, I. M.; Lewis, Mark L.
2004
A graph associated with the $$\pi$$-character degrees of a group. Zbl 1044.20002
Lewis, Mark L.; McVey, John K.; Moretó, Alexander; Sanus, Lucía
2003
Solvable groups with character degree graphs having 5 vertices and diameter 3. Zbl 1021.20007
Lewis, Mark L.
2002
A solvable group whose character degree graph has diameter $$3$$. Zbl 0991.20010
Lewis, Mark L.
2002
Derived lengths of solvable groups having five irreducible character degrees. II. Zbl 1040.20005
Lewis, Mark L.
2002
Solvable groups whose degree graphs have two connected components. Zbl 0998.20009
Lewis, Mark L.
2001
Derived lengths of solvable groups having five irreducible character degrees. I. Zbl 1040.20004
Lewis, Mark L.
2001
Bounding Fitting heights of character degree graphs. Zbl 0989.20007
Lewis, Mark L.
2001
Derived lengths of solvable groups satisfying the one-prime hypothesis. II. Zbl 0989.20005
Isaacs, I. M.; Lewis, Mark L.
2001
Derived lengths of solvable groups satisfying the one-prime hypothesis. III. Zbl 1002.20006
Lewis, Mark L.
2001
Affine semi-linear groups with three irreducible character degrees. Zbl 1006.20004
Lewis, Mark L.; Riedl, Jeffrey M.
2001
Fitting heights and the character degree graph. Zbl 0986.20007
Lewis, Mark L.
2000
Invariant characters and coprime actions on finite nilpotent groups. Zbl 0967.20004
Isaacs, I. M.; Lewis, Mark L.; Navarro, Gabriel
2000
Inducing characters of prime power degree. Zbl 0967.20005
Lewis, Mark L.
2000
A character theoretic condition characterizing nilpotent groups. Zbl 0929.20010
Gagola, Stephen M. jun.; Lewis, Mark L.
1999
Determining group structure from sets of irreducible character degrees. Zbl 0915.20003
Lewis, Mark L.
1998
Derived lengths and character degrees. Zbl 0915.20002
Lewis, Mark L.
1998
Irreducible character degree sets of solvable groups. Zbl 0911.20009
Lewis, Mark L.
1998
Derived lengths of solvable groups satisfying the one-prime hypothesis. Zbl 0907.20015
Lewis, Mark L.
1998
Squares of characters that are the sum of all irreducible characters. Zbl 0919.20003
Gagola, S. M. jun.; Lewis, M. L.
1998
Characters, coprime actions, and operator groups. Zbl 0917.20008
Lewis, Mark L.
1997
Primitive characters of subgroups of $$M$$-groups. Zbl 0860.20007
Lewis, Mark L.
1997
Characters of maximal subgroups of $$M$$-groups. Zbl 0868.20003
Lewis, Mark L.
1996
...and 3 more Documents
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#### Cited by 255 Authors

 77 Lewis, Mark L. 24 Tong-Viet, Hung P. 15 Qian, Guohua 12 Yang, Yong 11 Dolfi, Silvio 11 Pacifici, Emanuele 10 Nguyen, Hung Ngoc 10 Wakefield, Thomas P. 10 White, Donald L. 9 Aziziheris, Kamal 9 Chen, Xiaoyou 9 Ghaffarzadeh, Mehdi 9 Iranmanesh, Ali 9 Khosravi, Behrooz 9 Moretó, Alexander 8 Ghasemi, Mohsen 8 Liu, Yanjun 8 Sanus, Lucia 7 Akhlaghi, Zeinab 7 Burkett, Shawn T. 7 Cossey, James P. 7 Jin, Ping 6 Ebrahimi, Mahdi 6 Iranmanesh, Mohammad Ali 6 Isaacs, I. Martin 6 Khosravi, Bahman 6 Khosravi, Behnam 6 Meng, Qingyun 5 Casolo, Carlo 5 Hafezieh, Roghayeh 5 McVey, John K. 5 Spiga, Pablo 4 Brough, Julian M. A. 4 He, Liguo 4 Hung, Nguyen Ngoc 4 Laubacher, Jacob 4 Liu, Yang 4 Navarro, Gabriel 4 Robati, Sajjad Mahmood 4 Shafiei, Farideh 4 Tiep Pham Huu 3 Ahanjideh, Neda 3 Ashrafi, Ali Reza 3 Behravesh, Houshang 3 Bianchi, Mariagrazia 3 Bissler, Mark W. 3 Camina, Alan R. 3 Camina, Rachel D. 3 Chang, Xuewu 3 Darafsheh, Mohammad Reza 3 Erkoç, Temha 3 Felipe, María José 3 Giannelli, Eugenio 3 Khedri, Khatoon 3 Koorepazan-Moftakhar, Fatemeh 3 Li, Jinbao 3 Lu, Jiakuan 3 Momen, Zahra 3 Moosavi, Seyed Ali 3 Morresi Zuccari, Claudio Paolo 3 Norooz-Abadian, Meysam 3 Praeger, Cheryl Elisabeth 3 Sharifi, Hesamuddin 3 Song, Xueling 3 Thiem, Nathaniel 3 Wilson, James B. 3 Zhang, Jiping 2 Abdolghafourian, Adeleh 2 Alavi, Seyed Hassan 2 Alizadeh, Fereydoon 2 Bächle, Andreas 2 Bahramian, Roya 2 Beltrán, Antonio Felip 2 Brooksbank, Peter A. 2 Bubboloni, Daniela 2 Chang, Huimin 2 Chen, Guiyun 2 Çınarcı, Burcu 2 Croome, Sarah 2 Daneshkhah, Ashraf 2 Fry, A. A. Schaeffer 2 Hamblin, James 2 Hekmatara, Somayeh 2 Khatami, Maryam 2 Kildetoft, Tobias 2 Kondrat’ev, Anatoliĭ Semenovich 2 Li, Tianze 2 Liang, Dengfeng 2 Loukaki, Maria 2 Lu, Ziqun 2 Lyons, Corey F. 2 Madanha, Sesuai Yash 2 Maglione, Joshua 2 Malle, Gunter 2 Moghaddamfar, Ali Reza 2 Pan, Hongfei 2 Prajapati, Sunil Kumar 2 Qiao, Youming 2 Sass, Catherine B. 2 Shi, Wujie ...and 155 more Authors
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#### Cited in 56 Serials

 66 Journal of Algebra 50 Communications in Algebra 24 Journal of Group Theory 22 Journal of Algebra and its Applications 19 Algebras and Representation Theory 14 Monatshefte für Mathematik 13 Bulletin of the Australian Mathematical Society 13 International Journal of Group Theory 12 Journal of Pure and Applied Algebra 9 Proceedings of the American Mathematical Society 8 Archiv der Mathematik 8 Algebra Colloquium 7 Rocky Mountain Journal of Mathematics 6 Israel Journal of Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Acta Mathematica Sinica. English Series 4 Asian-European Journal of Mathematics 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Rendiconti del Seminario Matematico della Università di Padova 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Algebra and Logic 2 Canadian Mathematical Bulletin 2 Manuscripta Mathematica 2 SIAM Journal on Computing 2 Bulletin of the Iranian Mathematical Society 2 Algebraic Combinatorics 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Matematički Vesnik 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Graphs and Combinatorics 1 Revista Matemática Iberoamericana 1 Facta Universitatis. Series Mathematics and Informatics 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Séminaire Lotharingien de Combinatoire 1 Communications of the Korean Mathematical Society 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Proceedings of the Steklov Institute of Mathematics 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 Transactions on Combinatorics
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#### Cited in 13 Fields

 332 Group theory and generalizations (20-XX) 96 Combinatorics (05-XX) 6 Associative rings and algebras (16-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 Nonassociative rings and algebras (17-XX) 2 Algebraic topology (55-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)