Class information for:
Level 1: GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19760 490 15.1 31%


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
19760 1                   GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES 490

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 GALOIS MODULE STRUCTURE authKW 1556366 7% 78% 32
2 NORMAL INTEGRAL BASIS authKW 824767 3% 88% 15
3 REALIZABLE CLASSES authKW 690268 2% 92% 12
4 HOPF GALOIS STRUCTURE authKW 560844 2% 100% 9
5 ASSOCIATED ORDERS authKW 381684 1% 88% 7
6 LOCALLY FREE CLASSGROUP authKW 373896 1% 100% 6
7 HOPF ORDER authKW 311580 1% 100% 5
8 SQUARE ROOT OF THE INVERSE DIFFERENT authKW 311580 1% 100% 5
9 STEINITZ CLASSES authKW 280419 1% 75% 6
10 TAME EXTENSION authKW 249264 1% 100% 4

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 26665 99% 0% 485
2 Mathematics, Applied 54 6% 0% 27
3 Multidisciplinary Sciences -0 0% 0% 1
4 Computer Science, Theory & Methods -2 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 EPFL FSB MATHGEOM CSAG 112166 1% 60% 3
2 CHAIRE STURCT ALGEBR GEOMETR 62316 0% 100% 1
3 DMIUMR 7252 62316 0% 100% 1
4 EQUIPE TGA 62316 0% 100% 1
5 SCI ENGN COMP INFORMAT SCI 62316 0% 100% 1
6 UFR MATH INFORMAT BORDEAUX 62316 0% 100% 1
7 THEORET INFORMAT MATH 42097 1% 14% 5
8 LEHRSTUHL ALGEBRA ZAHLENTHEORIE 31157 0% 50% 1
9 LAMAV ISTV2 8901 0% 14% 1
10 MATH WISSEN AFT RECHNEN 8901 0% 14% 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 NUMBER THEORY 57785 13% 1% 66
2 JOURNAL OF ALGEBRA 23464 14% 1% 70
3 NEW YORK JOURNAL OF MATHEMATICS 17243 2% 3% 10
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 8346 4% 1% 22
5 ACTA ARITHMETICA 7726 4% 1% 20
6 ILLINOIS JOURNAL OF MATHEMATICS 7657 3% 1% 15
7 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 5401 3% 1% 14
8 ANNALES DE L INSTITUT FOURIER 4834 3% 1% 13
9 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 4673 1% 2% 4
10 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 3741 2% 1% 11

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 GALOIS MODULE STRUCTURE 1556366 7% 78% 32 Search GALOIS+MODULE+STRUCTURE Search GALOIS+MODULE+STRUCTURE
2 NORMAL INTEGRAL BASIS 824767 3% 88% 15 Search NORMAL+INTEGRAL+BASIS Search NORMAL+INTEGRAL+BASIS
3 REALIZABLE CLASSES 690268 2% 92% 12 Search REALIZABLE+CLASSES Search REALIZABLE+CLASSES
4 HOPF GALOIS STRUCTURE 560844 2% 100% 9 Search HOPF+GALOIS+STRUCTURE Search HOPF+GALOIS+STRUCTURE
5 ASSOCIATED ORDERS 381684 1% 88% 7 Search ASSOCIATED+ORDERS Search ASSOCIATED+ORDERS
6 LOCALLY FREE CLASSGROUP 373896 1% 100% 6 Search LOCALLY+FREE+CLASSGROUP Search LOCALLY+FREE+CLASSGROUP
7 HOPF ORDER 311580 1% 100% 5 Search HOPF+ORDER Search HOPF+ORDER
8 SQUARE ROOT OF THE INVERSE DIFFERENT 311580 1% 100% 5 Search SQUARE+ROOT+OF+THE+INVERSE+DIFFERENT Search SQUARE+ROOT+OF+THE+INVERSE+DIFFERENT
9 STEINITZ CLASSES 280419 1% 75% 6 Search STEINITZ+CLASSES Search STEINITZ+CLASSES
10 TAME EXTENSION 249264 1% 100% 4 Search TAME+EXTENSION Search TAME+EXTENSION

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 BYOTT, NP , SODAIGUI, B , (2013) REALIZABLE GALOIS MODULE CLASSES OVER THE GROUP RING FOR NON ABELIAN EXTENSIONS.ANNALES DE L INSTITUT FOURIER. VOL. 63. ISSUE 1. P. 303-371 16 94% 0
2 CHILDS, LN , (2011) HOPF GALOIS STRUCTURES ON KUMMER EXTENSIONS OF PRIME POWER DEGREE.NEW YORK JOURNAL OF MATHEMATICS. VOL. 17. ISSUE . P. 51-74 15 100% 0
3 BRUCHE, C , SODAIGUI, B , (2008) ON REALIZABLE GALOIS MODULE CLASSES AND STEINITZ CLASSES OF NONABELIAN EXTENSIONS.JOURNAL OF NUMBER THEORY. VOL. 128. ISSUE 4. P. 954 -978 16 100% 3
4 FARHAT, M , SODAIGUI, B , (2015) REALIZABLE CLASSES OF NON ABELIAN EXTENSIONS DEGREE P3.JOURNAL OF NUMBER THEORY. VOL. 152. ISSUE . P. 55 -89 14 93% 0
5 BRUCHE, C , (2009) STEINITZ CLASSES OF P(3) DEGREE NON-ABELIAN EXTENSIONS.ACTA ARITHMETICA. VOL. 137. ISSUE 2. P. 177-191 14 100% 3
6 CAPUTO, L , COBBE, A , (2013) AN EXPLICIT CANDIDATE FOR THE SET OF STEINITZ CLASSES OF TAME GALOIS EXTENSIONS WITH FIXED GALOIS GROUP OF ODD ORDER.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 107. ISSUE . P. 391-413 12 100% 0
7 BYOTT, NP , (2006) FEASIBLE CLASSES OF NON-ABELIAN EXTENSIONS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 601. ISSUE . P. 1-27 14 100% 10
8 CRESPO, T , RIO, A , VELA, M , (2016) INDUCED HOPF GALOIS STRUCTURES.JOURNAL OF ALGEBRA. VOL. 457. ISSUE . P. 312 -322 12 92% 0
9 UNDERWOOD, RG , CHILDS, LN , (2006) DUALITY FOR HOPF ORDERS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 358. ISSUE 3. P. 1117-1163 14 100% 4
10 BYOTT, NP , (2015) SOLUBILITY CRITERIA FOR HOPF-GALOIS STRUCTURES.NEW YORK JOURNAL OF MATHEMATICS. VOL. 21. ISSUE . P. 883 -903 12 86% 1

Classes with closest relation at Level 1


Rank Class id link
1 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
2 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
3 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
4 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
5 34340 FEEDBACK CYCLIZATION//POLE ASSIGNABILITY//SYSTEMS OVER COMMUTATIVE RINGS
6 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
7 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
8 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
9 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
10 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY

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