Class information for:
Level 1: WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25558 278 15.9 29%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
25558 1                   WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY 278

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 WITT BURNSIDE RING authKW 672763 3% 88% 7
2 NECKLACE RING authKW 598010 3% 78% 7
3 CYCLOTOMIC IDENTITY authKW 439356 1% 100% 4
4 COMBINATORIAL SPECIES authKW 395416 2% 60% 6
5 WITT VECTORS authKW 249619 4% 23% 10
6 ARITHMETIC PRODUCT authKW 219678 1% 100% 2
7 BURNSIDE GROTHENDIECK RING authKW 219678 1% 100% 2
8 CONVOLUTION RINGS authKW 219678 1% 100% 2
9 LACIM MATH address 219678 1% 100% 2
10 NECKLACE POLYNOMIAL authKW 219678 1% 100% 2

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 10589 83% 0% 231
2 Mathematics, Applied 875 23% 0% 64
3 Computer Science, Theory & Methods 126 6% 0% 18
4 Computer Science, Software Engineering 14 2% 0% 6
5 Statistics & Probability 4 1% 0% 4
6 Computer Science, Information Systems -0 0% 0% 1
7 Physics, Mathematical -1 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 LACIM MATH 219678 1% 100% 2
2 LACIM 139770 5% 9% 14
3 CONICET LIFIA 109839 0% 100% 1
4 VAKSGRP WISKUNDE 109839 0% 100% 1
5 ESCUELA MATH 36612 0% 33% 1
6 GRP T 10 21966 0% 20% 1
7 LAGA GALILEE 7844 0% 7% 1
8 MATEMAT INFORMAT 6079 2% 1% 5
9 PURDUE UNIV 2110 0% 2% 1
10 UMR 8049 1075 0% 1% 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 COMBINATORIAL THEORY SERIES A 32189 11% 1% 31
2 ADVANCES IN MATHEMATICS 15875 9% 1% 26
3 DISCRETE MATHEMATICS 14282 14% 0% 39
4 ADVANCES IN APPLIED MATHEMATICS 4883 3% 1% 8
5 STUDIES IN APPLIED MATHEMATICS 4852 3% 1% 7
6 THEORY AND APPLICATIONS OF CATEGORIES 3602 1% 1% 3
7 LECTURE NOTES IN MATHEMATICS 2995 5% 0% 14
8 ELECTRONIC JOURNAL OF COMBINATORICS 2812 3% 0% 8
9 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 2282 1% 1% 3
10 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 1623 1% 1% 2

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 WITT BURNSIDE RING 672763 3% 88% 7 Search WITT+BURNSIDE+RING Search WITT+BURNSIDE+RING
2 NECKLACE RING 598010 3% 78% 7 Search NECKLACE+RING Search NECKLACE+RING
3 CYCLOTOMIC IDENTITY 439356 1% 100% 4 Search CYCLOTOMIC+IDENTITY Search CYCLOTOMIC+IDENTITY
4 COMBINATORIAL SPECIES 395416 2% 60% 6 Search COMBINATORIAL+SPECIES Search COMBINATORIAL+SPECIES
5 WITT VECTORS 249619 4% 23% 10 Search WITT+VECTORS Search WITT+VECTORS
6 ARITHMETIC PRODUCT 219678 1% 100% 2 Search ARITHMETIC+PRODUCT Search ARITHMETIC+PRODUCT
7 BURNSIDE GROTHENDIECK RING 219678 1% 100% 2 Search BURNSIDE+GROTHENDIECK+RING Search BURNSIDE+GROTHENDIECK+RING
8 CONVOLUTION RINGS 219678 1% 100% 2 Search CONVOLUTION+RINGS Search CONVOLUTION+RINGS
9 NECKLACE POLYNOMIAL 219678 1% 100% 2 Search NECKLACE+POLYNOMIAL Search NECKLACE+POLYNOMIAL
10 SPECIAL LAMBDA RING 219678 1% 100% 2 Search SPECIAL+LAMBDA+RING Search SPECIAL+LAMBDA+RING

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 OH, YT , (2012) CLASSIFICATION AND DECOMPOSITION OF THE WITT-BURNSIDE RING AND BURNSIDE RING OF A PROFINITE GROUP.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 104. ISSUE . P. 649 -689 18 90% 1
2 LABELLE, G , (1993) SYMMETRY AND ASYMMETRY OF COMBINATORIAL STRUCTURES.THEORETICAL COMPUTER SCIENCE. VOL. 117. ISSUE 1-2. P. 3-22 24 96% 2
3 OH, YT , (2008) Q-ANALOG OF THE MOBIUS FUNCTION AND THE CYCLOTOMIC IDENTITY ASSOCIATED TO A PROFINITE GROUP.ADVANCES IN MATHEMATICS. VOL. 219. ISSUE 3. P. 852-893 13 100% 0
4 LABELLE, G , (1992) COUNTING ASYMMETRIC ENRICHED TREES.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 14. ISSUE 2-3. P. 211-242 22 100% 4
5 OH, YT , (2009) DECOMPOSITION OF THE WITT-BURNSIDE RING AND BURNSIDE RING OF AN ABELIAN PROFINITE GROUP.ADVANCES IN MATHEMATICS. VOL. 222. ISSUE 2. P. 485-526 13 93% 2
6 OH, YT , (2012) GROUP-THEORETICAL GENERALIZATION OF NECKLACE POLYNOMIALS.JOURNAL OF ALGEBRAIC COMBINATORICS. VOL. 35. ISSUE 3. P. 389-420 9 100% 0
7 MILLER, LE , (2014) ON THE STRUCTURE OF WITT-BURNSIDE RINGS ATTACHED TO PRO-P GROUPS.DOCUMENTA MATHEMATICA. VOL. 19. ISSUE . P. 1291 -1316 8 100% 0
8 OH, YT , (2012) WITT-BURNSIDE RING AND BURNSIDE RING OVER A SPECIAL LAMBDA-RING.JOURNAL OF ALGEBRA. VOL. 356. ISSUE 1. P. 133-157 9 90% 0
9 OH, YT , (2007) Q-DEFORMATION OF WITT-BURNSIDE RINGS.MATHEMATISCHE ZEITSCHRIFT. VOL. 257. ISSUE 1. P. 151-191 9 100% 3
10 YOSHIDA, T , (2001) CATEGORICAL ASPECTS OF GENERATING FUNCTIONS (I): EXPONENTIAL FORMULAS AND KRULL-SCHMIDT CATEGORIES.JOURNAL OF ALGEBRA. VOL. 240. ISSUE 1. P. 40 -82 15 71% 4

Classes with closest relation at Level 1


Rank Class id link
1 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
2 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
3 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
4 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
5 35505 STATISTICAL INTERDEPENDENCY//EVENT ASSOCIATION//ASYMPTOTIC OPTIMAL CLASSIFICATION
6 29833 FACTORISATIO NUMERORUM//IMPROPER EDGE//ORDERED FACTORIZATIONS
7 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
8 11002 BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES
9 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
10 37103 PARTIAL ENUMERATED SET//ACCEPTABLE NUMERATION//CONSTRUCTIVE FUNCTOR

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