Class information for:
Level 1: AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27463 229 12.7 24%


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
3622 2             INTEGRAL GROUP RING//GROUP RING//TORSION UNIT 1230
27463 1                   AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING 229

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 AUGMENTATION IDEAL authKW 2204301 10% 72% 23
2 AUGMENTATION QUOTIENT authKW 1344532 5% 92% 11
3 INTEGRAL GROUP RING authKW 641792 8% 25% 19
4 AUGMENTATION QUOTIENT GROUP authKW 400027 1% 100% 3
5 SUBGROUPS DETERMINED BY IDEALS authKW 400027 1% 100% 3
6 RELATION MODULE authKW 370391 2% 56% 5
7 CROSS EFFECT FUNCTOR authKW 266684 1% 100% 2
8 DIMENSION SUBGROUPS authKW 266684 1% 100% 2
9 FOX PROBLEM authKW 266684 1% 100% 2
10 FOX SUBGROUP authKW 266684 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 12276 98% 0% 225
2 Mathematics, Applied 883 25% 0% 58
3 Statistics & Probability 2 1% 0% 3
4 Multidisciplinary Sciences 0 0% 0% 1
5 Mechanics -0 1% 0% 2
6 Engineering, Electrical & Electronic -5 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 ADV STUDY MATH 38307 2% 6% 5
2 CNRS LAGA 22222 0% 17% 1
3 ISTV2 18388 1% 7% 2
4 CHEBYSHEV 18227 2% 3% 4
5 FR 2956 10253 1% 4% 2
6 LAMAV 4628 1% 1% 3
7 IND ENGN DIIN 3702 0% 3% 1
8 SECT 14 3029 0% 2% 1
9 BAHEN 2835 0% 2% 1
10 ST PETERSBURG 2558 1% 1% 3

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 PURE AND APPLIED ALGEBRA 28054 15% 1% 35
2 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 7982 3% 1% 8
3 JOURNAL OF ALGEBRA 7460 12% 0% 27
4 ALGEBRA COLLOQUIUM 5609 3% 1% 7
5 ARCHIV DER MATHEMATIK 4469 6% 0% 13
6 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 2072 3% 0% 6
7 COMMUNICATIONS IN ALGEBRA 1973 5% 0% 12
8 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 1675 3% 0% 6
9 HOMOLOGY HOMOTOPY AND APPLICATIONS 1438 1% 1% 2
10 JOURNAL OF GROUP THEORY 1335 1% 0% 3

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 AUGMENTATION IDEAL 2204301 10% 72% 23 Search AUGMENTATION+IDEAL Search AUGMENTATION+IDEAL
2 AUGMENTATION QUOTIENT 1344532 5% 92% 11 Search AUGMENTATION+QUOTIENT Search AUGMENTATION+QUOTIENT
3 INTEGRAL GROUP RING 641792 8% 25% 19 Search INTEGRAL+GROUP+RING Search INTEGRAL+GROUP+RING
4 AUGMENTATION QUOTIENT GROUP 400027 1% 100% 3 Search AUGMENTATION+QUOTIENT+GROUP Search AUGMENTATION+QUOTIENT+GROUP
5 SUBGROUPS DETERMINED BY IDEALS 400027 1% 100% 3 Search SUBGROUPS+DETERMINED+BY+IDEALS Search SUBGROUPS+DETERMINED+BY+IDEALS
6 RELATION MODULE 370391 2% 56% 5 Search RELATION+MODULE Search RELATION+MODULE
7 CROSS EFFECT FUNCTOR 266684 1% 100% 2 Search CROSS+EFFECT+FUNCTOR Search CROSS+EFFECT+FUNCTOR
8 DIMENSION SUBGROUPS 266684 1% 100% 2 Search DIMENSION+SUBGROUPS Search DIMENSION+SUBGROUPS
9 FOX PROBLEM 266684 1% 100% 2 Search FOX+PROBLEM Search FOX+PROBLEM
10 FOX SUBGROUP 266684 1% 100% 2 Search FOX+SUBGROUP Search FOX+SUBGROUP

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 (2009) LOWER CENTRAL AND DIMENSION SERIES OF GROUPS.LOWER CENTRAL AND DIMENSION SERIES OF GROUPS. VOL. 1952. ISSUE . P. XVII -+ 39 43% 0
2 HARTL, M , (2010) ON FOX AND AUGMENTATION QUOTIENTS OF SEMIDIRECT PRODUCTS.JOURNAL OF ALGEBRA. VOL. 324. ISSUE 12. P. 3276 -3307 13 87% 1
3 HARTL, M , (2010) ON FOX QUOTIENTS OF ARBITRARY GROUP ALGEBRAS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 20. ISSUE 5. P. 619-660 11 92% 0
4 CHANG, S , (2016) AUGMENTATION QUOTIENTS FOR BURNSIDE RINGS OF GENERALIZED DIHEDRAL GROUPS.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 66. ISSUE 4. P. 1165 -1175 8 100% 0
5 ALEXANDROU, M , STOHR, R , (2015) FREE CENTRE-BY-(ABELIAN-BY-EXPONENT 2) GROUPS.JOURNAL OF ALGEBRA. VOL. 430. ISSUE . P. 191 -237 8 100% 0
6 WANG, XL , (2016) THE STABLE BEHAVIOR OF THE AUGMENTATION QUOTIENTS OF THE GROUPS OF ORDER P(5), I.ALGEBRA COLLOQUIUM. VOL. 23. ISSUE 2. P. 189 -204 8 89% 0
7 HARTL, M , (2008) THE RELATIVE SECOND FOX AND THIRD DIMENSION SUBGROUP OF ARBITRARY GROUPS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 39. ISSUE 5. P. 435-451 8 100% 0
8 CHANG, S , TANG, GP , (2011) A BASIS FOR AUGMENTATION QUOTIENTS OF FINITE ABELIAN GROUPS.JOURNAL OF ALGEBRA. VOL. 327. ISSUE 1. P. 466-488 7 100% 1
9 KOVACS, LG , STOHR, R , (2011) LIE POWERS OF RELATION MODULES FOR GROUPS.JOURNAL OF ALGEBRA. VOL. 326. ISSUE 1. P. 192 -200 6 100% 1
10 KESIM, S , (2005) ELEMENTS OF FINITE ORDER IN FREE CENTRE-BY-NILPOTENT-BY-ABELIAN GROUPS.COMMUNICATIONS IN ALGEBRA. VOL. 33. ISSUE 10. P. 3529-3568 7 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21926 CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP
2 11191 INTEGRAL GROUP RING//GROUP RING//TORSION UNIT
3 21072 SCHUR MULTIPLIER//COMMUTATIVITY DEGREE//NON ABELIAN TENSOR SQUARE
4 18475 ZENTRUM MATH M11//MODULAR INVARIANT THEORY//SEPARATING INVARIANTS
5 8019 THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY
6 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
7 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
8 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
9 28720 WEIL REPRESENTATION//GLOBALLY IRREDUCIBLE REPRESENTATIONS//ANZAHL THEOREM
10 37240 VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS

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