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Author ID: lewis.mark-l Recent zbMATH articles by "Lewis, Mark L."
Published as: Lewis, Mark L.; Lewis, M. L.; Lewis, Mark; Lewis, Mark Lanning
Homepage: http://www.math.kent.edu/~lewis/
External Links: MGP · ORCID
all top 5

Co-Authors

57 single-authored
11 Burkett, Shawn T.
11 Chen, Xiaoyou
10 Cossey, James P.
10 Tong-Viet, Hung P.
8 Costanzo, David G.
7 White, Donald L.
6 Bianchi, Mariagrazia
6 Isaacs, I. Martin
6 Navarro, Gabriel
5 Camina, Rachel Deborah
5 Carleton, Rachel
5 Moghaddamfar, Ali Reza
5 Moretó, Alexander
4 Beike, Nicolas F.
4 Du, Ni
4 Heath, Colin
4 Lu, Kaiwen
4 McVey, John K.
4 Pacifici, Emanuele
4 Pearce, Jamie D.
4 Yan, Quanfu
3 Aziziheris, Kamal
3 Croome, Sarah
3 Meng, Qingyun
3 Mirzajani, Javad
3 Schmidt, Stefano
3 Tefft, Shannon M.
3 Tsegaye, Eyob
3 Udell, Gabe
3 Wolf, Thomas R.
2 Bissler, Mark W.
2 Gagola, Stephen Michael jun.
2 Ghaffarzadeh, Mehdi
2 Ghasemi, Mohsen
2 Hendrixson, Lisa Rose
2 Iranmanesh, Ali
2 Keller, Thomas Michael
2 Laubacher, Jacob
2 Nguyen Ngoc Hung
2 Tiep Pham Huu
2 Vasil’ev, Andreĭ Viktorovich
2 Wynn, Casey
2 Zvezdina, Mariya A.
1 Barnea, Yiftach
1 Cartor, Max
1 Cartor, Ryann
1 Chillag, David
1 Elsharif, Ramadan
1 Ershov, Mikhail V.
1 Foguel, Tuval S.
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 Jensen, Sara
1 Lamar, Jonathan
1 Lytkina, Dar’ya Viktorovna
1 Maglione, Joshua
1 Mazurov, Viktor Danilovich
1 Morotti, Lucia
1 Naughton, Keeley
1 Norooz-Abadian, Meysam
1 Passman, Donald Steven
1 Phillips, Mary
1 Prajapati, Sunil Kumar
1 Riedl, Jeffrey M.
1 Sanus, Lucia
1 Sass, Catherine B.
1 Schacher, Murray M.
1 Schaeffer Fry, Amanda A.
1 Shafiei, Farideh
1 Sharifi, Hesam
1 Shen, Zhencai
1 Smith-Tone, Daniel
1 Sracic, Mario
1 Strasser, Benjamin
1 Wilson, James B.
all top 5

Serials

23 Journal of Algebra
18 Journal of Group Theory
13 Communications in Algebra
11 Bulletin of the Australian Mathematical Society
10 Archiv der Mathematik
10 Algebras and Representation Theory
7 Proceedings of the American Mathematical Society
6 Monatshefte für Mathematik
6 Journal of Algebra and its Applications
5 Proceedings of the Edinburgh Mathematical Society. Series II
4 Rocky Mountain Journal of Mathematics
4 Algebra Colloquium
4 International Journal of Group Theory
3 Israel Journal of Mathematics
3 Canadian Mathematical Bulletin
3 Advances in Group Theory and Applications
2 Czechoslovak Mathematical Journal
2 Journal of Pure and Applied Algebra
2 Publicationes Mathematicae Debrecen
2 International Journal of Algebra and Computation
2 Vietnam Journal of Mathematics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Manuscripta Mathematica
1 Osaka Journal of Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Proceedings of the Royal Society of Edinburgh. Section A. 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 Albanian Journal of Mathematics
1 Involve
1 Groups, Complexity, Cryptology

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 1,013 times in 512 Documents Cited by Year
Character degree graphs that are complete graphs. Zbl 1112.20006
Bianchi, Mariagrazia; Chillag, David; Lewis, Mark L.; Pacifici, Emanuele
110
2007
An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. Zbl 1166.20006
Lewis, Mark L.
85
2008
Solvable groups whose degree graphs have two connected components. Zbl 0998.20009
Lewis, Mark L.
57
2001
Connectedness of degree graphs of nonsolvable groups. Zbl 1034.20010
Lewis, Mark L.; White, Donald L.
47
2005
Nonsolvable groups with no prime dividing three character degrees. Zbl 1246.20006
Lewis, Mark L.; White, Donald L.
30
2011
Codegrees and nilpotence class of \(p\)-groups. Zbl 1350.20006
Du, Ni; Lewis, Mark L.
26
2016
Solvable groups with character degree graphs having 5 vertices and diameter 3. Zbl 1021.20007
Lewis, Mark L.
20
2002
Isomorphism in expanding families of indistinguishable groups. Zbl 1284.20016
Lewis, Mark L.; Wilson, James B.
19
2012
Determining group structure from sets of irreducible character degrees. Zbl 0915.20003
Lewis, Mark L.
19
1998
Classifying character degree graphs with 5 vertices. Zbl 1078.20008
Lewis, Mark L.
18
2004
A solvable group whose character degree graph has diameter \(3\). Zbl 0991.20010
Lewis, Mark L.
18
2002
The vanishing-off subgroup. Zbl 1173.20004
Lewis, Mark L.
18
2009
A character theoretic condition characterizing nilpotent groups. Zbl 0929.20010
Gagola, Stephen M. jun.; Lewis, Mark L.
18
1999
A characterization of the prime graphs of solvable groups. Zbl 1331.20029
Gruber, Alexander; Keller, Thomas Michael; Lewis, Mark L.; Naughton, Keeley; Strasser, Benjamin
18
2015
Derived lengths of solvable groups having five irreducible character degrees. I. Zbl 1040.20004
Lewis, Mark L.
17
2001
Bounding Fitting heights of character degree graphs. Zbl 0989.20007
Lewis, Mark L.
16
2001
\(p\)-parts of character degrees. Zbl 1335.20006
Lewis, Mark L.; Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.
16
2015
Diameters of degree graphs of nonsolvable groups. Zbl 1100.20014
Lewis, Mark L.; White, Donald L.
15
2005
\(p\)-parts of character degrees and the index of the Fitting subgroup. Zbl 1305.20007
Lewis, Mark L.; Navarro, Gabriel; Wolf, Thomas R.
15
2014
Four-vertex degree graphs of nonsolvable groups. Zbl 1278.20003
Lewis, Mark L.; White, Donald L.
15
2013
Solvable groups having almost relatively prime distinct irreducible character degrees. Zbl 0833.20011
Lewis, Mark L.
13
1995
Non-divisibility among character degrees. Zbl 1097.20011
Lewis, Mark L.; Moretó, Alexander; Wolf, Thomas R.
13
2005
Groups with exactly two supercharacter theories. Zbl 1369.20005
Burkett, Shawn; Lamar, Jonathan; Lewis, Mark L.; Wynn, Casey
13
2017
Character degree graphs of automorphism groups of characteristically simple groups. Zbl 1180.20005
Lewis, Mark L.; McVey, John K.
10
2009
Square character degree graphs yield direct products. Zbl 1251.20011
Lewis, Mark L.; Meng, Qingyun
10
2012
Nonsolvable groups satisfying the one-prime hypothesis. Zbl 1126.20003
Lewis, Mark L.; White, Donald L.
9
2007
Fitting heights and the character degree graph. Zbl 0986.20007
Lewis, Mark L.
9
2000
Generalizing Camina groups and their character tables. Zbl 1166.20007
Lewis, Mark L.
9
2009
Diameters of degree graphs of nonsolvable groups. II. Zbl 1120.20010
Lewis, Mark L.; White, Donald L.
8
2007
Derived lengths and character degrees. Zbl 0915.20002
Lewis, Mark L.
8
1998
Generalizing Baer’s norm. Zbl 1441.20010
Lewis, Mark L.; Zarrin, M.
8
2019
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.
8
2017
Finite groups with an irreducible character of large degree. Zbl 1344.20012
Nguyen, Hung Ngoc; Lewis, Mark L.; Schaeffer Fry, Amanda A.
7
2016
Character tables of groups where all nonlinear irreducible characters vanish off the center. Zbl 1196.20009
Lewis, Mark L.
7
2009
On \(p\)-group Camina pairs. Zbl 1268.20020
Lewis, Mark L.
7
2012
Obtaining nuclei from chains of normal subgroups. Zbl 1105.20006
Lewis, Mark L.
7
2006
Solvable groups whose prime divisor character degree graphs are 1-connected. Zbl 1475.20015
Lewis, Mark L.; Meng, Qingyun
7
2019
The cyclic graph (deleted enhanced power graph) of a direct product. Zbl 1506.20057
Costanzo, David G.; Lewis, Mark L.; Schmidt, Stefano; Tsegaye, Eyob; Udell, Gabe
7
2021
Characters of maximal subgroups of \(M\)-groups. Zbl 0868.20003
Lewis, Mark L.
6
1996
The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. Zbl 1118.20010
Lewis, Mark L.
6
2005
Variations on average character degrees and \(p\)-nilpotence. Zbl 1398.20012
Lewis, Mark L.
6
2016
Supercharacter theories of semiextraspecial \(p\)-groups and Frobenius groups. Zbl 1447.20006
Lewis, Mark L.; Wynn, Casey
6
2018
Nonsolvable groups with no prime dividing four character degrees. Zbl 1422.20003
Ghaffarzadeh, Mehdi; Ghasemi, Mohsen; Lewis, Mark L.; Tong-Viet, Hung P.
6
2017
The cyclic graph of a \(Z\)-group. Zbl 07394396
Costanzo, David G.; Lewis, Mark L.; Schmidt, Stefano; Tsegaye, Eyob; Udell, Gabe
6
2021
Transitive permutation groups in which all derangements are involutions. Zbl 1111.20002
Isaacs, I. M.; Keller, Thomas Michael; Lewis, Mark L.; Moretó, Alexander
5
2006
Nonabelian fully-ramified sections. Zbl 0884.20007
Lewis, Mark L.
5
1996
Derived lengths of solvable groups satisfying the one-prime hypothesis. Zbl 0907.20015
Lewis, Mark L.
5
1998
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
5
2014
Classifying Camina groups: a theorem of Dark and Scoppola. Zbl 1309.20029
Lewis, Mark L.
5
2014
Nonsolvable groups all of whose character degrees are odd-square-free. Zbl 1232.20011
Lewis, Mark L.; White, Donald L.
5
2011
Irreducible character degree sets of solvable groups. Zbl 0911.20009
Lewis, Mark L.
5
1998
Classifying character degree graphs with six vertices. Zbl 1475.20013
Bissler, Mark W.; Laubacher, Jacob; Lewis, Mark L.
5
2019
Semi-extraspecial groups. Zbl 1472.20036
Lewis, Mark L.
5
2019
On graphs associated with character degrees and conjugacy class sizes of direct products of finite groups. Zbl 1319.20026
Hossein-Zadeh, Samaneh; Iranmanesh, Ali; Hosseinzadeh, Mohammad Ali; Lewis, Mark L.
5
2015
Camina \(p\)-groups that are generalized Frobenius complements. Zbl 1327.20016
Isaacs, I. M.; Lewis, Mark L.
5
2015
Groups where the centers of the irreducible characters form a chain. Zbl 1453.20013
Lewis, Mark L.
5
2020
Itô’s theorem and monomial Brauer characters. Zbl 1412.20003
Chen, Xiaoyou; Lewis, Mark L.
5
2017
Generalizing a theorem of Huppert and Manz. Zbl 1146.20004
Lewis, Mark L.
4
2007
The number of lifts of a Brauer character with a normal vertex. Zbl 1238.20011
Cossey, James P.; Lewis, Mark L.; Navarro, Gabriel
4
2011
Characters, coprime actions, and operator groups. Zbl 0917.20008
Lewis, Mark L.
4
1997
Groups with only two nonlinear non-faithful irreducible characters. Zbl 1513.20013
Chen, Xiaoyou; Lewis, Mark L.
4
2019
Lifts and vertex pairs in solvable groups. Zbl 1251.20014
Cossey, James P.; Lewis, Mark L.
4
2012
Solvable groups satisfying the two-prime hypothesis. II. Zbl 1267.20012
Hamblin, James; Lewis, Mark L.
4
2012
Squares of degrees of Brauer characters and monomial Brauer characters. Zbl 1448.20009
Chen, Xiaoyou; Lewis, Mark L.
4
2019
Bounding group orders by large character degrees: a question of Snyder. Zbl 1310.20010
Lewis, Mark L.
4
2014
Common divisor character degree graphs of solvable groups with four vertices. Zbl 1327.20023
He, Liguo; Lewis, Mark L.
4
2015
Character degree graphs of solvable groups of Fitting height 2. Zbl 1100.20013
Lewis, Mark L.
4
2006
Brauer characters of \(q'\)-degree. Zbl 1369.20009
Lewis, Mark L.; Tong Viet, Hung P.
4
2017
On solvable groups with one vanishing class size. Zbl 1534.20005
Bianchi, M.; Pacifici, E.; Camina, R. D.; Lewis, Mark L.
4
2021
Taketa’s theorem for some character degree sets. Zbl 1266.20008
Aziziheris, Kamal; Lewis, Mark L.
4
2013
Disconnectedness and diameters of degree graphs associated with normal subgroups. Zbl 1104.20005
Lewis, Mark L.
3
2005
Derived lengths of solvable groups satisfying the one-prime hypothesis. II. Zbl 0989.20005
Isaacs, I. M.; Lewis, Mark L.
3
2001
Invariant characters and coprime actions on finite nilpotent groups. Zbl 0967.20004
Isaacs, I. M.; Lewis, Mark L.; Navarro, Gabriel
3
2000
Inductive pairs and lifts in solvable groups. Zbl 1230.20009
Cossey, James P.; Lewis, Mark L.
3
2011
M-groups of order \(p^aq^b\): a theorem of Loukaki. Zbl 1109.20007
Lewis, Mark L.
3
2006
Groups where the centers of the irreducible characters form a chain. II. Zbl 1484.20005
Burkett, Shawn T.; Lewis, Mark L.
3
2020
The solubility graph associated with a finite group. Zbl 1472.20026
Akbari, B.; Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.
3
2020
A Frobenius group analog for Camina triples. Zbl 1458.20008
Burkett, Shawn T.; Lewis, Mark L.
3
2021
Monolithic Brauer characters. Zbl 1469.20012
Chen, Xiaoyou; Lewis, Mark L.
3
2019
Groups with vanishing class size \(p\). Zbl 1471.20004
Bianchi, Mariagrazia; Lewis, Mark L.; Pacifici, Emanuele
3
2020
Character codegrees of maximal class \(p\)-groups. Zbl 1481.20019
Croome, Sarah; Lewis, Mark L.
3
2020
A family of groups containing a nonabelian fully ramified section. Zbl 0884.20008
Lewis, Mark L.
2
1996
Bounding an index by the largest character degree of a \(p\)-solvable group. Zbl 1300.20010
Lewis, Mark L.
2
2014
Affine semi-linear groups with three irreducible character degrees. Zbl 1006.20004
Lewis, Mark L.; Riedl, Jeffrey M.
2
2001
Derived lengths of solvable groups satisfying the one-prime hypothesis. III. Zbl 1002.20006
Lewis, Mark L.
2
2001
Derived lengths of solvable groups having five irreducible character degrees. II. Zbl 1040.20005
Lewis, Mark L.
2
2002
GVZ-groups, flat groups, and CM-groups. Zbl 1479.20008
Burkett, Shawn T.; Lewis, Mark L.
2
2021
Subnormal inductive sources and \(\pi\)-partial characters. Zbl 1154.20003
Lewis, Mark L.
2
2008
Lifts of partial characters with cyclic defect groups. Zbl 1248.20009
Cossey, James P.; Lewis, Mark L.
2
2010
Groups where all the irreducible characters are super-monomial. Zbl 1195.20007
Lewis, Mark L.
2
2010
Lifts of partial characters with respect to a chain of normal subgroups. Zbl 1232.20016
Lewis, Mark L.
2
2010
A condition in finite solvable groups related to cyclic subgroups. Zbl 1220.20015
Imperatore, D.; Lewis, Mark L.
2
2011
\(p\)-groups with \(p^2\) as a codegree. Zbl 1435.20014
Croome, Sarah; Lewis, Mark L.
2
2019
A graph associated with the \(\pi\)-character degrees of a group. Zbl 1044.20002
Lewis, Mark L.; McVey, John K.; Moretó, Alexander; Sanus, Lucía
2
2003
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to \(\mathrm{PSL}_2(q)\) for \(q\geq 7\). Zbl 1499.20011
Lewis, Mark L.; Liu, Yanjun; Tong-Viet, Hung P.
2
2018
The Taketa problem and character degree graphs with diameter three. Zbl 1331.20005
Lewis, Mark L.; Sass, Catherine B.
2
2015
Simple groups whose Gruenberg-Kegel graph or solvable graph is split. Zbl 1481.20044
Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.; Vasil’ev, A. V.; Zvezdina, M. A.
2
2020
Simple groups and the two-prime hypothesis. Zbl 1397.20015
Lewis, Mark L.; Liu, Yanjun
2
2016
The character degree ratio and composition factors of a finite group. Zbl 1347.20007
Lewis, Mark L.; Nguyen, Hung Ngoc
2
2016
Finite groups with a given set of character degrees. Zbl 1348.20007
Shafiei, Farideh; Iranmanesh, Ali; Lewis, Mark L.; Aziziheris, Kamal
2
2016
Conjugacy classes of maximal cyclic subgroups of metacyclic \(p\)-groups. Zbl 1509.20046
Bianchi, Mariagrazia; Camina, Rachel; Lewis, Mark L.
1
2023
Extending results of Morgan and Parker about commuting graphs. Zbl 1517.20034
Beike, Nicolas F.; Carleton, Rachel; Costanzo, David G.; Heath, Colin; Lewis, Mark L.; Lu, Kaiwen; Pearce, Jamie D.
2
2022
Conjugacy classes of maximal cyclic subgroups and nilpotence class of \(p\)-groups. Zbl 1509.20025
Bianchi, Mariagrazia; Camina, Rachel D.; Lewis, Mark L.
1
2022
The rationality of Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups. Zbl 1516.20023
Lewis, Mark L.; Norooz-Abadian, Meysam; Sharifi, Hesam
1
2022
The cyclic graph (deleted enhanced power graph) of a direct product. Zbl 1506.20057
Costanzo, David G.; Lewis, Mark L.; Schmidt, Stefano; Tsegaye, Eyob; Udell, Gabe
7
2021
The cyclic graph of a \(Z\)-group. Zbl 07394396
Costanzo, David G.; Lewis, Mark L.; Schmidt, Stefano; Tsegaye, Eyob; Udell, Gabe
6
2021
On solvable groups with one vanishing class size. Zbl 1534.20005
Bianchi, M.; Pacifici, E.; Camina, R. D.; Lewis, Mark L.
4
2021
A Frobenius group analog for Camina triples. Zbl 1458.20008
Burkett, Shawn T.; Lewis, Mark L.
3
2021
GVZ-groups, flat groups, and CM-groups. Zbl 1479.20008
Burkett, Shawn T.; Lewis, Mark L.
2
2021
Partial GVZ-groups. Zbl 07354439
Burkett, Shawn T.; Lewis, Mark L.
1
2021
Groups where the centers of the irreducible characters form a chain. Zbl 1453.20013
Lewis, Mark L.
5
2020
Groups where the centers of the irreducible characters form a chain. II. Zbl 1484.20005
Burkett, Shawn T.; Lewis, Mark L.
3
2020
The solubility graph associated with a finite group. Zbl 1472.20026
Akbari, B.; Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.
3
2020
Groups with vanishing class size \(p\). Zbl 1471.20004
Bianchi, Mariagrazia; Lewis, Mark L.; Pacifici, Emanuele
3
2020
Character codegrees of maximal class \(p\)-groups. Zbl 1481.20019
Croome, Sarah; Lewis, Mark L.
3
2020
Simple groups whose Gruenberg-Kegel graph or solvable graph is split. Zbl 1481.20044
Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.; Vasil’ev, A. V.; Zvezdina, M. A.
2
2020
Solvable groups whose character degree graphs generalize squares. Zbl 1466.20007
Lewis, Mark L.; Meng, Qingyun
1
2020
A characterization of nested groups in terms of conjugacy classes. (Une caractérisation des groupes emboîtés en termes de classes de conjugaison.) Zbl 1528.20008
Burkett, Shawn T.; Lewis, Mark L.
1
2020
\(p\)-groups with exactly four codegrees. Zbl 1477.20039
Croome, Sarah; Lewis, Mark L.
1
2020
Vanishing-off subgroups and supercharacter theory products. Zbl 1530.20024
Burkett, Shawn T.; Lewis, Mark L.
1
2020
Degrees of Brauer characters and normal Sylow \(p\)-subgroups. Zbl 1530.20038
Chen, Xiaoyou; Lewis, Mark L.
1
2020
Generalizing Baer’s norm. Zbl 1441.20010
Lewis, Mark L.; Zarrin, M.
8
2019
Solvable groups whose prime divisor character degree graphs are 1-connected. Zbl 1475.20015
Lewis, Mark L.; Meng, Qingyun
7
2019
Classifying character degree graphs with six vertices. Zbl 1475.20013
Bissler, Mark W.; Laubacher, Jacob; Lewis, Mark L.
5
2019
Semi-extraspecial groups. Zbl 1472.20036
Lewis, Mark L.
5
2019
Groups with only two nonlinear non-faithful irreducible characters. Zbl 1513.20013
Chen, Xiaoyou; Lewis, Mark L.
4
2019
Squares of degrees of Brauer characters and monomial Brauer characters. Zbl 1448.20009
Chen, Xiaoyou; Lewis, Mark L.
4
2019
Monolithic Brauer characters. Zbl 1469.20012
Chen, Xiaoyou; Lewis, Mark L.
3
2019
\(p\)-groups with \(p^2\) as a codegree. Zbl 1435.20014
Croome, Sarah; Lewis, Mark L.
2
2019
Subgroups of division rings. Zbl 1453.16018
Lewis, Mark; Schacher, Murray
1
2019
Supercharacter theories of semiextraspecial \(p\)-groups and Frobenius groups. Zbl 1447.20006
Lewis, Mark L.; Wynn, Casey
6
2018
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to \(\mathrm{PSL}_2(q)\) for \(q\geq 7\). Zbl 1499.20011
Lewis, Mark L.; Liu, Yanjun; Tong-Viet, Hung P.
2
2018
Semi-extraspecial groups with an abelian subgroup of maximal possible order. Zbl 1403.20027
Lewis, Mark L.
1
2018
Splitting via noncommutativity. Zbl 1404.20017
Lewis, Mark Lanning; Lytkina, Daria V.; Mazurov, Viktor Danilovich; Moghaddamfar, Ali Reza
1
2018
Itô’s theorem and monomial Brauer characters. II. Zbl 1412.20004
Chen, Xiaoyou; Lewis, Mark L.
1
2018
Centralizers of Camina \(p\)-groups of nilpotence class 3. Zbl 1477.20040
Lewis, Mark L.
1
2018
Groups with exactly two supercharacter theories. Zbl 1369.20005
Burkett, Shawn; Lamar, Jonathan; Lewis, Mark L.; Wynn, Casey
13
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.
8
2017
Nonsolvable groups with no prime dividing four character degrees. Zbl 1422.20003
Ghaffarzadeh, Mehdi; Ghasemi, Mohsen; Lewis, Mark L.; Tong-Viet, Hung P.
6
2017
Itô’s theorem and monomial Brauer characters. Zbl 1412.20003
Chen, Xiaoyou; Lewis, Mark L.
5
2017
Brauer characters of \(q'\)-degree. Zbl 1369.20009
Lewis, Mark L.; Tong Viet, Hung P.
4
2017
The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to \(\mathrm{PSL}_2(q)\). Zbl 1378.20009
Lewis, Mark L.; Liu, Yanjun; Tong-Viet, Hung P.
2
2017
The prime-power hypothesis and solvable groups. Zbl 1386.20005
Du, Ni; Lewis, Mark L.
1
2017
Fitting heights of solvable groups with no nontrivial prime power character degrees. Zbl 1399.20015
Lewis, Mark L.
1
2017
Codegrees and nilpotence class of \(p\)-groups. Zbl 1350.20006
Du, Ni; Lewis, Mark L.
26
2016
Finite groups with an irreducible character of large degree. Zbl 1344.20012
Nguyen, Hung Ngoc; Lewis, Mark L.; Schaeffer Fry, Amanda A.
7
2016
Variations on average character degrees and \(p\)-nilpotence. Zbl 1398.20012
Lewis, Mark L.
6
2016
Simple groups and the two-prime hypothesis. Zbl 1397.20015
Lewis, Mark L.; Liu, Yanjun
2
2016
The character degree ratio and composition factors of a finite group. Zbl 1347.20007
Lewis, Mark L.; Nguyen, Hung Ngoc
2
2016
Finite groups with a given set of character degrees. Zbl 1348.20007
Shafiei, Farideh; Iranmanesh, Ali; Lewis, Mark L.; Aziziheris, Kamal
2
2016
Bounding the diameter of the Brauer graph of a block of a solvable group. Zbl 1397.20020
Cossey, James P.; Lewis, Mark L.
1
2016
A characterization of the prime graphs of solvable groups. Zbl 1331.20029
Gruber, Alexander; Keller, Thomas Michael; Lewis, Mark L.; Naughton, Keeley; Strasser, Benjamin
18
2015
\(p\)-parts of character degrees. Zbl 1335.20006
Lewis, Mark L.; Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.
16
2015
On graphs associated with character degrees and conjugacy class sizes of direct products of finite groups. Zbl 1319.20026
Hossein-Zadeh, Samaneh; Iranmanesh, Ali; Hosseinzadeh, Mohammad Ali; Lewis, Mark L.
5
2015
Camina \(p\)-groups that are generalized Frobenius complements. Zbl 1327.20016
Isaacs, I. M.; Lewis, Mark L.
5
2015
Common divisor character degree graphs of solvable groups with four vertices. Zbl 1327.20023
He, Liguo; Lewis, Mark L.
4
2015
The Taketa problem and character degree graphs with diameter three. Zbl 1331.20005
Lewis, Mark L.; Sass, Catherine B.
2
2015
Camina pairs that are not \(p\)-closed. Zbl 1318.20019
Lewis, Mark L.
1
2015
\(p\)-parts of character degrees and the index of the Fitting subgroup. Zbl 1305.20007
Lewis, Mark L.; Navarro, Gabriel; Wolf, Thomas R.
15
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
5
2014
Classifying Camina groups: a theorem of Dark and Scoppola. Zbl 1309.20029
Lewis, Mark L.
5
2014
Bounding group orders by large character degrees: a question of Snyder. Zbl 1310.20010
Lewis, Mark L.
4
2014
Bounding an index by the largest character degree of a \(p\)-solvable group. Zbl 1300.20010
Lewis, Mark L.
2
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
1
2014
Four-vertex degree graphs of nonsolvable groups. Zbl 1278.20003
Lewis, Mark L.; White, Donald L.
15
2013
Taketa’s theorem for some character degree sets. Zbl 1266.20008
Aziziheris, Kamal; Lewis, Mark L.
4
2013
Isomorphism in expanding families of indistinguishable groups. Zbl 1284.20016
Lewis, Mark L.; Wilson, James B.
19
2012
Square character degree graphs yield direct products. Zbl 1251.20011
Lewis, Mark L.; Meng, Qingyun
10
2012
On \(p\)-group Camina pairs. Zbl 1268.20020
Lewis, Mark L.
7
2012
Lifts and vertex pairs in solvable groups. Zbl 1251.20014
Cossey, James P.; Lewis, Mark L.
4
2012
Solvable groups satisfying the two-prime hypothesis. II. Zbl 1267.20012
Hamblin, James; Lewis, Mark L.
4
2012
Inducing \(\pi\)-partial characters with a given vertex. Zbl 1294.20012
Lewis, M. L.
1
2012
Nonsolvable groups with no prime dividing three character degrees. Zbl 1246.20006
Lewis, Mark L.; White, Donald L.
30
2011
Nonsolvable groups all of whose character degrees are odd-square-free. Zbl 1232.20011
Lewis, Mark L.; White, Donald L.
5
2011
The number of lifts of a Brauer character with a normal vertex. Zbl 1238.20011
Cossey, James P.; Lewis, Mark L.; Navarro, Gabriel
4
2011
Inductive pairs and lifts in solvable groups. Zbl 1230.20009
Cossey, James P.; Lewis, Mark L.
3
2011
A condition in finite solvable groups related to cyclic subgroups. Zbl 1220.20015
Imperatore, D.; Lewis, Mark L.
2
2011
Lifts of partial characters with cyclic defect groups. Zbl 1248.20009
Cossey, James P.; Lewis, Mark L.
2
2010
Groups where all the irreducible characters are super-monomial. Zbl 1195.20007
Lewis, Mark L.
2
2010
Lifts of partial characters with respect to a chain of normal subgroups. Zbl 1232.20016
Lewis, Mark L.
2
2010
The vanishing-off subgroup. Zbl 1173.20004
Lewis, Mark L.
18
2009
Character degree graphs of automorphism groups of characteristically simple groups. Zbl 1180.20005
Lewis, Mark L.; McVey, John K.
10
2009
Generalizing Camina groups and their character tables. Zbl 1166.20007
Lewis, Mark L.
9
2009
Character tables of groups where all nonlinear irreducible characters vanish off the center. Zbl 1196.20009
Lewis, Mark L.
7
2009
Nuclei and lifts of \(\pi\)-partial characters. Zbl 1169.20004
Lewis, Mark L.
1
2009
Counting the number of nonlinear irreducible characters of a finite group. Zbl 1170.20003
Aziziheris, Kamal; Lewis, Mark L.
1
2009
An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. Zbl 1166.20006
Lewis, Mark L.
85
2008
Subnormal inductive sources and \(\pi\)-partial characters. Zbl 1154.20003
Lewis, Mark L.
2
2008
Character degree graphs that are complete graphs. Zbl 1112.20006
Bianchi, Mariagrazia; Chillag, David; Lewis, Mark L.; Pacifici, Emanuele
110
2007
Nonsolvable groups satisfying the one-prime hypothesis. Zbl 1126.20003
Lewis, Mark L.; White, Donald L.
9
2007
Diameters of degree graphs of nonsolvable groups. II. Zbl 1120.20010
Lewis, Mark L.; White, Donald L.
8
2007
Generalizing a theorem of Huppert and Manz. Zbl 1146.20004
Lewis, Mark L.
4
2007
Fong characters and chains of normal subgroups. Zbl 1132.20006
Cossey, James P.; Lewis, Mark L.
1
2007
Obtaining nuclei from chains of normal subgroups. Zbl 1105.20006
Lewis, Mark L.
7
2006
Transitive permutation groups in which all derangements are involutions. Zbl 1111.20002
Isaacs, I. M.; Keller, Thomas Michael; Lewis, Mark L.; Moretó, Alexander
5
2006
Character degree graphs of solvable groups of Fitting height 2. Zbl 1100.20013
Lewis, Mark L.
4
2006
M-groups of order \(p^aq^b\): a theorem of Loukaki. Zbl 1109.20007
Lewis, Mark L.
3
2006
Induction and restriction of lifts of \(\pi\)-partial characters. Zbl 1113.20009
Lewis, Mark L.
1
2006
Connectedness of degree graphs of nonsolvable groups. Zbl 1034.20010
Lewis, Mark L.; White, Donald L.
47
2005
Diameters of degree graphs of nonsolvable groups. Zbl 1100.20014
Lewis, Mark L.; White, Donald L.
15
2005
...and 30 more Documents
all top 5

Cited by 391 Authors

89 Lewis, Mark L.
25 Tong-Viet, Hung P.
22 Yang, Yong
20 Qian, Guohua
18 Moretó, Alexander
17 Pacifici, Emanuele
16 Ahanjideh, Neda
15 Akhlaghi, Zeinab
15 Dolfi, Silvio
15 Nguyen Ngoc Hung
13 Sanus, Lucia
12 Ebrahimi, Mahdi
12 Iranmanesh, Ali
11 Aziziheris, Kamal
11 Chen, Xiaoyou
11 Khosravi, Behrooz
11 Liu, Yang
10 Burkett, Shawn T.
10 Hafezieh, Roghayeh
10 Jin, Ping
10 Robati, Sajjad Mahmood
10 Wakefield, Thomas P.
10 White, Donald L.
9 Ghaffarzadeh, Mehdi
9 Ghasemi, Mohsen
8 Cossey, James P.
7 Camina, Rachel Deborah
7 Khosravi, Behnam
7 Meng, Qingyun
7 Navarro, Gabriel
6 Bianchi, Mariagrazia
6 Iranmanesh, Mohammad Ali
6 Isaacs, I. Martin
6 Keller, Thomas Michael
6 Khatami, Maryam
6 Khosravi, Bahman
6 Shafiei, Farideh
6 Wilson, James B.
5 Alavi, Seyed Hassan
5 Casolo, Carlo
5 Darafsheh, Mohammad Reza
5 Erkoç, Temha
5 Laubacher, Jacob
5 McVey, John K.
5 Qiao, Youming
5 Shen, Zhencai
5 Spiga, Pablo
5 Tiep Pham Huu
4 Bahramian, Roya
4 Brooksbank, Peter A.
4 Brough, Julian M. A.
4 Giannelli, Eugenio
4 He, Liguo
4 Liu, Yanjun
4 Lu, Jiakuan
4 Madanha, Sesuai Yash
4 Norooz-Abadian, Meysam
4 Shirjian, Farrokh
4 Sotomayor, Víctor
4 Yang, Dongfang
3 Ashrafi, Ali Reza
3 Bächle, Andreas
3 Beltrán, Antonio Felip
3 Bissler, Mark W.
3 Camina, Alan R.
3 Chang, Xuewu
3 Chen, Guiyun
3 Çınarcı, Burcu
3 Costanzo, David G.
3 Daneshkhah, Ashraf
3 Felipe, María José
3 Hekmatara, Somayeh
3 Khedri, Khatoon
3 Kondrat’ev, Anatoliĭ Semenovich
3 Koorepazan-Moftakhar, Fatemeh
3 Li, Jinbao
3 Lv, Heng
3 Ma, Xuanlong
3 Maglione, Joshua
3 Malle, Gunter
3 Mirzaei, Zohreh
3 Momen, Zahra
3 Morresi Zuccari, Claudio Paolo
3 Praeger, Cheryl Elisabeth
3 Prajapati, Sunil Kumar
3 Rizo, Noelia
3 Schaeffer Fry, Amanda A.
3 Song, Xueling
3 Thiem, Nathaniel
3 Wang, Lei
3 Zhang, Jiping
2 Abdolghafourian, Adeleh
2 Abdollahi, Alireza
2 Alizadeh, Fereydoon
2 Bagherian, Javad
2 Bakshi, Gurmeet K.
2 Behravesh, Houshang
2 Bessenrodt, Christine
2 Bonazzi, Lorenzo
2 Bubboloni, Daniela
...and 291 more Authors
all top 5

Cited in 88 Serials

78 Journal of Algebra
77 Communications in Algebra
37 Journal of Algebra and its Applications
35 Journal of Group Theory
23 Bulletin of the Australian Mathematical Society
20 Algebras and Representation Theory
16 Monatshefte für Mathematik
15 Journal of Pure and Applied Algebra
15 International Journal of Group Theory
12 Archiv der Mathematik
10 Proceedings of the American Mathematical Society
8 Israel Journal of Mathematics
8 Algebra Colloquium
7 Rocky Mountain Journal of Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mediterranean Journal of Mathematics
5 Bulletin of the London Mathematical Society
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Quaestiones Mathematicae
5 Bulletin of the Iranian Mathematical Society
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal of Algebraic Combinatorics
4 Acta Mathematica Sinica. English Series
4 Asian-European Journal of Mathematics
3 Advances in Mathematics
3 Mathematische Nachrichten
3 SIAM Journal on Computing
3 Forum Mathematicum
3 Vietnam Journal of Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Algebra and Logic
2 Canadian Mathematical Bulletin
2 Czechoslovak Mathematical Journal
2 Manuscripta Mathematica
2 Results in Mathematics
2 International Journal of Algebra and Computation
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Frontiers of Mathematics in China
2 Albanian Journal of Mathematics
2 Involve
2 Electronic Journal of Graph Theory and Applications
2 Algebraic Combinatorics
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Houston Journal of Mathematics
1 Mathematical Notes
1 Beiträge zur Algebra und Geometrie
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of the London Mathematical Society. Second Series
1 Matematički Vesnik
1 Proceedings of the Japan Academy. Series A
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Facta Universitatis. Series Mathematics and Informatics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Transformation Groups
1 Communications of the Korean Mathematical Society
1 Journal of the Australian Mathematical Society
1 JP Journal of Algebra, Number Theory and Applications
1 Algebra and Discrete Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Oberwolfach Reports
1 Contributions to Discrete Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Ars Mathematica Contemporanea
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Iranian Journal of Mathematical Sciences and Informatics
1 Communications in Mathematics
1 Transactions on Combinatorics
1 Communications in Mathematics and Statistics
1 Open Mathematics
1 Frontiers of Mathematics

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