Class information for:
Level 1: CHARACTER DEGREES//CONJUGACY CLASS SIZES//FINITE GROUP

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
7572 1353 11.6 41%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
831 2             FINITE GROUP//JOURNAL OF ALGEBRA//MATHEMATICS 11829
7572 1                   CHARACTER DEGREES//CONJUGACY CLASS SIZES//FINITE GROUP 1353

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 CHARACTER DEGREES authKW 2288867 8% 94% 108
2 CONJUGACY CLASS SIZES authKW 858107 3% 98% 39
3 FINITE GROUP authKW 655423 12% 18% 165
4 SOLVABLE GROUP authKW 488757 5% 30% 73
5 CHARACTER DEGREE GRAPH authKW 383639 1% 100% 17
6 BRAUER CHARACTERS authKW 343989 2% 61% 25
7 CONJUGACY CLASSES authKW 278753 4% 23% 54
8 JOURNAL OF ALGEBRA journal 268655 29% 3% 393
9 SCHUR INDEX authKW 261877 2% 55% 21
10 REGULAR ORBITS authKW 245723 1% 78% 14

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with term
in class
1 Mathematics 74392 99% 0% 1346
2 Mathematics, Applied 1268 13% 0% 179
3 Statistics & Probability 2 1% 0% 12
4 Multidisciplinary Sciences 0 0% 0% 5
5 Integrative & Complementary Medicine -0 0% 0% 1
6 Mechanics -13 0% 0% 1

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 ALGEBRA 164907 9% 6% 122
2 DIPARTIMENTO MATEMAT U DINI 31933 2% 5% 26
3 DIPARTIMENTO MATEMAT F ENRIQUES 23260 1% 6% 17
4 ALGEBRA ZAHLENTHORIE DISKRETE MATH 22567 0% 100% 1
5 DALGEBRA 22567 0% 100% 1
6 DFBBC 22567 0% 100% 1
7 E EIN INT MATH 22567 0% 100% 1
8 ETSII IT MATEMAT LICADA ALDA URQUIJO 22567 0% 100% 1
9 MATH SCI FDN 22567 0% 100% 1
10 UNIV MATEMET PURA LICADA 22567 0% 100% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 JOURNAL OF ALGEBRA 268655 29% 3% 393
2 JOURNAL OF GROUP THEORY 99959 5% 7% 63
3 ARCHIV DER MATHEMATIK 53272 8% 2% 109
4 ISRAEL JOURNAL OF MATHEMATICS 24583 5% 2% 64
5 COMMUNICATIONS IN ALGEBRA 19686 7% 1% 92
6 ALGEBRA COLLOQUIUM 17420 2% 3% 30
7 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 14149 2% 2% 29
8 ALGEBRAS AND REPRESENTATION THEORY 13158 2% 3% 21
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6702 5% 0% 71
10 MONATSHEFTE FUR MATHEMATIK 4792 2% 1% 22

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 CHARACTER DEGREES 2288867 8% 94% 108 Search CHARACTER+DEGREES Search CHARACTER+DEGREES
2 CONJUGACY CLASS SIZES 858107 3% 98% 39 Search CONJUGACY+CLASS+SIZES Search CONJUGACY+CLASS+SIZES
3 FINITE GROUP 655423 12% 18% 165 Search FINITE+GROUP Search FINITE+GROUP
4 SOLVABLE GROUP 488757 5% 30% 73 Search SOLVABLE+GROUP Search SOLVABLE+GROUP
5 CHARACTER DEGREE GRAPH 383639 1% 100% 17 Search CHARACTER+DEGREE+GRAPH Search CHARACTER+DEGREE+GRAPH
6 BRAUER CHARACTERS 343989 2% 61% 25 Search BRAUER+CHARACTERS Search BRAUER+CHARACTERS
7 CONJUGACY CLASSES 278753 4% 23% 54 Search CONJUGACY+CLASSES Search CONJUGACY+CLASSES
8 SCHUR INDEX 261877 2% 55% 21 Search SCHUR+INDEX Search SCHUR+INDEX
9 REGULAR ORBITS 245723 1% 78% 14 Search REGULAR+ORBITS Search REGULAR+ORBITS
10 PI SEPARABLE GROUPS 227549 1% 92% 11 Search PI+SEPARABLE+GROUPS Search PI+SEPARABLE+GROUPS

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 LEWIS, ML , (2008) AN OVERVIEW OF GRAPHS ASSOCIATED WITH CHARACTER DEGREES AND CONJUGACY CLASS SIZES IN FINITE GROUPS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 38. ISSUE 1. P. 175-211 57 98% 29
2 SHAFIEI, F , IRANMANESH, A , LEWIS, ML , AZIZIHERIS, K , (2016) FINITE GROUPS WITH A GIVEN SET OF CHARACTER DEGREES.ALGEBRAS AND REPRESENTATION THEORY. VOL. 19. ISSUE 2. P. 335 -354 18 100% 0
3 YANG, Y , (2015) BLOCKS OF SMALL DEFECT.JOURNAL OF ALGEBRA. VOL. 429. ISSUE . P. 192 -212 18 95% 1
4 LADISCH, F , (2016) ON CLIFFORD THEORY WITH GALOIS ACTION.JOURNAL OF ALGEBRA. VOL. 457. ISSUE . P. 45 -72 17 89% 0
5 PALFY, PP , (2001) ON THE CHARACTER DEGREE GRAPH OF SOLVABLE GROUPS. II. DISCONNECTED GRAPHS.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 38. ISSUE . P. 339 -355 21 100% 15
6 HUNG, NN , LEWIS, ML , FRY, AAS , (2016) FINITE GROUPS WITH AN IRREDUCIBLE CHARACTER OF LARGE DEGREE.MANUSCRIPTA MATHEMATICA. VOL. 149. ISSUE 3-4. P. 523 -546 16 80% 1
7 BESSENRODT, C , TONG-VIET, HP , ZHANG, JP , (2017) HUPPERT'S CONJECTURE FOR ALTERNATING GROUPS.JOURNAL OF ALGEBRA. VOL. 470. ISSUE . P. 353 -378 14 93% 0
8 YANG, Y , (2014) LARGE ORBITS OF SUBGROUPS OF SOLVABLE LINEAR GROUPS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 199. ISSUE 1. P. 345 -362 13 100% 0
9 LI, TZ , LIU, YJ , SONG, XL , (2010) FINITE NONSOLVABLE GROUPS WHOSE CHARACTER GRAPHS HAVE NO TRIANGLES.JOURNAL OF ALGEBRA. VOL. 323. ISSUE 8. P. 2290-2300 15 94% 3
10 LIU, YJ , LIU, Y , (2016) A CHARACTER-THEORETIC CRITERION FOR THE SOLVABILITY OF FINITE GROUPS.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 94. ISSUE 1. P. 30 -35 14 88% 0

Classes with closest relation at Level 1



Rank Class id link
1 6211 JOURNAL OF ALGEBRA//MACKEY FUNCTOR//DEFECT GROUP
2 28720 WEIL REPRESENTATION//GLOBALLY IRREDUCIBLE REPRESENTATIONS//ANZAHL THEOREM
3 16672 PRIME GRAPH//ELEMENT ORDER//SIMPLE GROUP
4 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
5 20854 ASSOCIATION SCHEME//TABLE ALGEBRAS//MODULAR ADJACENCY ALGEBRAS
6 21072 SCHUR MULTIPLIER//COMMUTATIVITY DEGREE//NON ABELIAN TENSOR SQUARE
7 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
8 16627 ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS
9 26199 MINIMAL NONABELIAN P GROUPS//METACYCLIC P GROUPS//NON NORMAL SUBGROUPS
10 21354 WORD MAPS//VERBAL WIDTH//VERBAL SUBGROUP

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