Class information for:
Level 1: ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18628 543 16.2 27%


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
18628 1                   ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS 543

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 ABSOLUTE GALOIS GROUP authKW 486013 2% 79% 11
2 HILBERTIAN FIELDS authKW 337400 1% 100% 6
3 DEFINABLE VALUATIONS authKW 168700 1% 100% 3
4 FREE PRO P PRODUCT authKW 168700 1% 100% 3
5 POWERFUL PRO P GROUPS authKW 168700 1% 100% 3
6 ZASSENHAUS FILTRATION authKW 168700 1% 100% 3
7 LARGE FIELDS authKW 149953 1% 67% 4
8 AMPLE FIELDS authKW 112467 0% 100% 2
9 BLOCH KATO GROUPS authKW 112467 0% 100% 2
10 FRATTINI EXTENSIONS authKW 112467 0% 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 28720 98% 0% 530
2 Logic 3863 6% 0% 32
3 Mathematics, Applied 351 11% 0% 61
4 Multidisciplinary Sciences 73 2% 0% 12
5 Mycology 0 0% 0% 1
6 Microbiology -7 0% 0% 1
7 Biotechnology & Applied Microbiology -7 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 MIDDLESEX 72486 3% 9% 14
2 ABT MATHEMAT LOG GRUNDLAGEN MATH 56233 0% 100% 1
3 NAT WISSEN AFTICHE FAK 1 56233 0% 100% 1
4 HBEREICH MATH STAT 31222 2% 6% 10
5 DIP MAT INF 28116 0% 50% 1
6 MATH AFDELING 28116 0% 50% 1
7 IST ARCH DCA 18743 0% 33% 1
8 SACKLER MATH SCI 7027 0% 13% 1
9 ANGEW NUMER MATH 5745 1% 3% 3
10 DRL 5622 0% 10% 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 ISRAEL JOURNAL OF MATHEMATICS 22786 7% 1% 39
2 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 20201 7% 1% 36
3 MANUSCRIPTA MATHEMATICA 10818 5% 1% 25
4 JOURNAL OF ALGEBRA 8713 8% 0% 45
5 ARCHIV DER MATHEMATIK 4447 4% 0% 20
6 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 4119 2% 1% 13
7 ANNALS OF PURE AND APPLIED LOGIC 3283 2% 1% 11
8 JOURNAL OF SYMBOLIC LOGIC 3259 2% 0% 13
9 PACIFIC JOURNAL OF MATHEMATICS 3127 3% 0% 16
10 JOURNAL OF GROUP THEORY 3065 1% 1% 7

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 ABSOLUTE GALOIS GROUP 486013 2% 79% 11 Search ABSOLUTE+GALOIS+GROUP Search ABSOLUTE+GALOIS+GROUP
2 HILBERTIAN FIELDS 337400 1% 100% 6 Search HILBERTIAN+FIELDS Search HILBERTIAN+FIELDS
3 DEFINABLE VALUATIONS 168700 1% 100% 3 Search DEFINABLE+VALUATIONS Search DEFINABLE+VALUATIONS
4 FREE PRO P PRODUCT 168700 1% 100% 3 Search FREE+PRO+P+PRODUCT Search FREE+PRO+P+PRODUCT
5 POWERFUL PRO P GROUPS 168700 1% 100% 3 Search POWERFUL+PRO+P+GROUPS Search POWERFUL+PRO+P+GROUPS
6 ZASSENHAUS FILTRATION 168700 1% 100% 3 Search ZASSENHAUS+FILTRATION Search ZASSENHAUS+FILTRATION
7 LARGE FIELDS 149953 1% 67% 4 Search LARGE+FIELDS Search LARGE+FIELDS
8 AMPLE FIELDS 112467 0% 100% 2 Search AMPLE+FIELDS Search AMPLE+FIELDS
9 BLOCH KATO GROUPS 112467 0% 100% 2 Search BLOCH+KATO+GROUPS Search BLOCH+KATO+GROUPS
10 FRATTINI EXTENSIONS 112467 0% 100% 2 Search FRATTINI+EXTENSIONS Search FRATTINI+EXTENSIONS

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 CHEBOLU, SK , MINAC, J , QUADRELLI, C , (2015) DETECTING FAST SOLVABILITY OF EQUATIONS VIA SMALL POWERFUL GALOIS GROUPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 12. P. 8439 -8464 22 92% 0
2 MINAC, J , TAN, ND , (2017) TRIPLE MASSEY PRODUCTS AND GALOIS THEORY.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 19. ISSUE 1. P. 255 -284 23 82% 0
3 EFRAT, I , MINAC, J , (2012) SMALL GALOIS GROUPS THAT ENCODE VALUATIONS.ACTA ARITHMETICA. VOL. 156. ISSUE 1. P. 7-17 21 88% 4
4 MINAC, J , SWALLOW, J , TOPAZ, A , (2014) GALOIS MODULE STRUCTURE OF (L(N))TH CLASSES OF FIELDS.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 46. ISSUE . P. 143-154 17 100% 1
5 FEHM, A , PARAN, E , (2014) SPLIT EMBEDDING PROBLEMS OVER THE OPEN ARITHMETIC DISC.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 7. P. 3535-3551 15 100% 0
6 CHEBOLU, S , MINAC, J , SCHULTZ, A , (2016) GALOIS P-GROUPS AND GALOIS MODULES.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 46. ISSUE 5. P. 1405 -1446 18 78% 0
7 HARAN, D , JARDEN, M , POP, F , (2009) THE ABSOLUTE GALOIS GROUP OF THE FIELD OF TOTALLY S-ADIC NUMBERS.NAGOYA MATHEMATICAL JOURNAL. VOL. 194. ISSUE . P. 91 -147 16 100% 3
8 EFRAT, I , (2006) A GENERALIZATION OF MARSHALL'S EQUIVALENCE RELATION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 358. ISSUE 6. P. 2561 -2577 18 95% 1
9 BARY-SOROKER, L , PARAN, E , (2013) FULLY HILBERTIAN FIELDS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 194. ISSUE 2. P. 507-538 13 100% 2
10 TOPAZ, A , (2017) ABELIAN-BY-CENTRAL GALOIS GROUPS OF FIELDS I: A FORMAL DESCRIPTION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 4. P. 2721 -2745 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
2 25185 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
3 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
4 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
5 25105 VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM
6 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
7 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
8 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP
9 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
10 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS

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