Class information for:
Level 1: NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12778 881 15.7 32%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
12778 1                   NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS 881

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 NOETHERS PROBLEM authKW 1179347 4% 97% 35
2 RATIONALITY PROBLEM authKW 780963 3% 87% 26
3 GENERIC POLYNOMIALS authKW 344539 1% 76% 13
4 BOGOMOLOV MULTIPLIER authKW 311926 1% 100% 9
5 INVERSE GALOIS THEORY authKW 247554 1% 71% 10
6 BRAID MOVES authKW 207950 1% 100% 6
7 HURWITZ SPACES authKW 185651 2% 36% 15
8 UNRAMIFIED BRAUER GROUP authKW 184840 1% 67% 8
9 RETRACT RATIONALITY authKW 173292 1% 100% 5
10 INVERSE GALOIS PROBLEM authKW 155954 1% 50% 9

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 39305 90% 0% 791
2 Mathematics, Applied 1444 17% 0% 150
3 Computer Science, Theory & Methods 269 5% 0% 48
4 Statistics & Probability 0 1% 0% 6
5 Multidisciplinary Sciences -0 0% 0% 2
6 Computer Science, Information Systems -1 0% 0% 3
7 Computer Science, Software Engineering -1 0% 0% 2
8 Computer Science, Interdisciplinary Applications -2 0% 0% 3
9 Respiratory System -4 0% 0% 1
10 Cardiac & Cardiovascular System -11 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 MATH INFORMAT ECON 77980 0% 75% 3
2 ZAKLAD MATEMAT 69317 0% 100% 2
3 TAIDA MATH SCI 35355 2% 7% 14
4 BUR 401M 34658 0% 100% 1
5 CALFOR LIP6 34658 0% 100% 1
6 DELEGATION GEN ARMEMENT 34658 0% 100% 1
7 ECOLE SUPER STAT ANAL INFORMAT 34658 0% 100% 1
8 EQUIPE PROJECT SALSA LIP6 34658 0% 100% 1
9 FR 2254UMR 5465 THEOR NOMB ALGORITHM AR 34658 0% 100% 1
10 HB MATH 34658 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 61596 17% 1% 152
2 JOURNAL OF NUMBER THEORY 20667 6% 1% 53
3 JOURNAL OF SYMBOLIC COMPUTATION 12886 3% 1% 29
4 ISRAEL JOURNAL OF MATHEMATICS 11280 4% 1% 35
5 MATHEMATICS OF COMPUTATION 10050 4% 1% 34
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 8617 3% 1% 30
7 ACTA ARITHMETICA 6699 3% 1% 25
8 COMMUNICATIONS IN ALGEBRA 5406 4% 0% 39
9 EXPERIMENTAL MATHEMATICS 4754 1% 1% 10
10 MANUSCRIPTA MATHEMATICA 3831 2% 1% 19

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 NOETHERS PROBLEM 1179347 4% 97% 35 Search NOETHERS+PROBLEM Search NOETHERS+PROBLEM
2 RATIONALITY PROBLEM 780963 3% 87% 26 Search RATIONALITY+PROBLEM Search RATIONALITY+PROBLEM
3 GENERIC POLYNOMIALS 344539 1% 76% 13 Search GENERIC+POLYNOMIALS Search GENERIC+POLYNOMIALS
4 BOGOMOLOV MULTIPLIER 311926 1% 100% 9 Search BOGOMOLOV+MULTIPLIER Search BOGOMOLOV+MULTIPLIER
5 INVERSE GALOIS THEORY 247554 1% 71% 10 Search INVERSE+GALOIS+THEORY Search INVERSE+GALOIS+THEORY
6 BRAID MOVES 207950 1% 100% 6 Search BRAID+MOVES Search BRAID+MOVES
7 HURWITZ SPACES 185651 2% 36% 15 Search HURWITZ+SPACES Search HURWITZ+SPACES
8 UNRAMIFIED BRAUER GROUP 184840 1% 67% 8 Search UNRAMIFIED+BRAUER+GROUP Search UNRAMIFIED+BRAUER+GROUP
9 RETRACT RATIONALITY 173292 1% 100% 5 Search RETRACT+RATIONALITY Search RETRACT+RATIONALITY
10 INVERSE GALOIS PROBLEM 155954 1% 50% 9 Search INVERSE+GALOIS+PROBLEM Search INVERSE+GALOIS+PROBLEM

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 HOSHI, A , MIYAKE, K , (2010) ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 6. ISSUE 5. P. 1047 -1081 29 83% 0
2 KANG, MC , MICHAILOV, IM , ZHOU, J , (2012) NOETHER'S PROBLEM FOR THE GROUPS WITH A CYCLIC SUBGROUP OF INDEX 4.TRANSFORMATION GROUPS. VOL. 17. ISSUE 4. P. 1037-1058 20 100% 2
3 KANG, MC , (2013) FROBENIUS GROUPS AND RETRACT RATIONALITY.ADVANCES IN MATHEMATICS. VOL. 245. ISSUE . P. 34-51 21 91% 1
4 HOSHI, A , KITAYAMA, H , YAMASAKI, A , (2011) RATIONALITY PROBLEM OF THREE-DIMENSIONAL MONOMIAL GROUP ACTIONS.JOURNAL OF ALGEBRA. VOL. 341. ISSUE 1. P. 45-108 19 100% 4
5 HOSHI, A , (2016) BIRATIONAL CLASSIFICATION OF FIELDS OF INVARIANTS FOR GROUPS OF ORDER 128.JOURNAL OF ALGEBRA. VOL. 445. ISSUE . P. 394 -432 23 70% 0
6 HOSHI, A , KANG, MC , KITAYAMA, H , (2014) QUASI-MONOMIAL ACTIONS AND SOME 4-DIMENSIONAL RATIONALITY PROBLEMS.JOURNAL OF ALGEBRA. VOL. 403. ISSUE . P. 363-400 17 89% 0
7 CHU, H , HOSHI, A , HU, SJ , KANG, MC , (2015) NOETHER'S PROBLEM FOR GROUPS OF ORDER 243.JOURNAL OF ALGEBRA. VOL. 442. ISSUE . P. 233 -259 19 76% 0
8 KANG, MC , WANG, BS , (2014) RATIONAL INVARIANTS FOR SUBGROUPS OF S-5 AND S-7.JOURNAL OF ALGEBRA. VOL. 413. ISSUE . P. 345-363 14 100% 0
9 KANG, MC , (2012) RETRACT RATIONAL FIELDS.JOURNAL OF ALGEBRA. VOL. 349. ISSUE 1. P. 22 -37 16 89% 4
10 KANG, MC , (2004) INTRODUCTION TO NOETHER'S PROBLEM FOR DIHEDRAL GROUPS.ALGEBRA COLLOQUIUM. VOL. 11. ISSUE 1. P. 71-78 18 95% 2

Classes with closest relation at Level 1


Rank Class id link
1 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
2 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
3 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
4 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
5 25105 VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM
6 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
7 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
8 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
9 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
10 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER

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