Class information for:
Level 1: THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
21003 437 16.5 40%



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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
1679 2             INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM 6788
21003 1                   THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS 437

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 THOMPSONS GROUP authKW 1083768 6% 57% 27
2 FINITENESS PROPERTIES authKW 558984 3% 67% 12
3 SIGMA INVARIANTS authKW 447191 2% 80% 8
4 COHOMOLOGICAL FINITENESS CONDITIONS authKW 419244 1% 100% 6
5 BREDON COHOMOLOGY authKW 377313 2% 60% 9
6 THOMPSONS GROUP F authKW 319417 2% 57% 8
7 DIAGRAM GROUPS authKW 311252 2% 64% 7
8 THOMPSONS GROUP V authKW 279496 1% 100% 4
9 MATH R8133 address 218353 1% 63% 5
10 HOMOLOGICAL TYPE FPM authKW 209622 1% 100% 3

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 24283 100% 0% 437
2 Mathematics, Applied 479 14% 0% 62
3 Logic 220 2% 0% 7
4 Statistics & Probability 2 1% 0% 5
5 Mechanics -3 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 R8133 218353 1% 63% 5
2 AS277 69874 0% 100% 1
3 ESCUELA POLITECN SUPERIOR CASTELLDEFELS 69874 0% 100% 1
4 HASTY 69874 0% 100% 1
5 ESCOLA POLITECN SUPER CASTELLDEFELS 64588 2% 13% 7
6 IMECC 28210 4% 2% 19
7 AGENCIA CIDADE SAO PAULO 23290 0% 33% 1
8 MATEMAT LICADA 4 18917 2% 3% 10
9 MATH IMECC 17467 0% 25% 1
10 FB 12 16437 0% 12% 2

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 GROUPS GEOMETRY AND DYNAMICS 76634 4% 6% 19
2 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 31652 5% 2% 22
3 JOURNAL OF GROUP THEORY 28147 4% 2% 19
4 JOURNAL OF PURE AND APPLIED ALGEBRA 11500 7% 1% 31
5 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 8546 5% 1% 21
6 PUBLICACIONS MATEMATIQUES 8297 2% 2% 7
7 COMMENTARII MATHEMATICI HELVETICI 6641 3% 1% 11
8 JOURNAL OF ALGEBRA 5467 7% 0% 32
9 ISRAEL JOURNAL OF MATHEMATICS 4173 3% 0% 15
10 GEOMETRIAE DEDICATA 3931 3% 0% 13

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 THOMPSONS GROUP 1083768 6% 57% 27 Search THOMPSONS+GROUP Search THOMPSONS+GROUP
2 FINITENESS PROPERTIES 558984 3% 67% 12 Search FINITENESS+PROPERTIES Search FINITENESS+PROPERTIES
3 SIGMA INVARIANTS 447191 2% 80% 8 Search SIGMA+INVARIANTS Search SIGMA+INVARIANTS
4 COHOMOLOGICAL FINITENESS CONDITIONS 419244 1% 100% 6 Search COHOMOLOGICAL+FINITENESS+CONDITIONS Search COHOMOLOGICAL+FINITENESS+CONDITIONS
5 BREDON COHOMOLOGY 377313 2% 60% 9 Search BREDON+COHOMOLOGY Search BREDON+COHOMOLOGY
6 THOMPSONS GROUP F 319417 2% 57% 8 Search THOMPSONS+GROUP+F Search THOMPSONS+GROUP+F
7 DIAGRAM GROUPS 311252 2% 64% 7 Search DIAGRAM+GROUPS Search DIAGRAM+GROUPS
8 THOMPSONS GROUP V 279496 1% 100% 4 Search THOMPSONS+GROUP+V Search THOMPSONS+GROUP+V
9 HOMOLOGICAL TYPE FPM 209622 1% 100% 3 Search HOMOLOGICAL+TYPE+FPM Search HOMOLOGICAL+TYPE+FPM
10 SIGMA THEORY 209622 1% 100% 3 Search SIGMA+THEORY Search SIGMA+THEORY

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 KOCHLOUKOVA, DH , (2012) ON THE SIGMA(2)-INVARIANTS OF THE GENERALISED R. THOMPSON GROUPS OF TYPE F.JOURNAL OF ALGEBRA. VOL. 371. ISSUE . P. 430 -456 16 100% 1
2 KOCHLOUKOVA, DH , MARTINEZ-PEREZ, C , NUCINKIS, BEA , (2012) FIXED POINTS OF FINITE GROUPS ACTING ON GENERALISED THOMPSON GROUPS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 187. ISSUE 1. P. 167-192 16 100% 0
3 KROPHOLLER, PH , MARTINEZ-PEREZ, C , NUCINKIS, BEA , (2009) COHOMOLOGICAL FINITENESS CONDITIONS FOR ELEMENTARY AMENABLE GROUPS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 637. ISSUE . P. 49-62 19 86% 17
4 BIERI, R , GEOGHEGAN, R , KOCHLOUKOVA, DH , (2010) THE SIGMA INVARIANTS OF THOMPSON'S GROUP F.GROUPS GEOMETRY AND DYNAMICS. VOL. 4. ISSUE 2. P. 263 -273 16 100% 8
5 BARTHOLDI, L , DE CORNULIER, Y , KOCHLOUKOVA, DH , (2015) HOMOLOGICAL FINITENESS PROPERTIES OF WREATH PRODUCTS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 2. P. 437 -457 15 94% 1
6 ST JOHN-GREEN, S , (2015) CENTRALIZERS IN HOUGHTON'S GROUPS.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 58. ISSUE 3. P. 769 -785 13 100% 0
7 KOCHLOUKOVA, DH , MARTINEZ-PEREZ, C , (2014) SIGMA THEORY FOR BREDON MODULES.GROUPS GEOMETRY AND DYNAMICS. VOL. 8. ISSUE 2. P. 415 -440 15 88% 0
8 DEGRIJSE, D , (2015) BREDON COHOMOLOGICAL DIMENSIONS FOR PROPER ACTIONS AND MACKEY FUNCTORS.FORUM MATHEMATICUM. VOL. 27. ISSUE 6. P. 3667 -3696 15 83% 0
9 HARLANDER, J , KOCHLOUKOVA, DH , (2004) THE SIGMA(2)-CONJECTURE FOR METABELIAN GROUPS: THE GENERAL CASE.JOURNAL OF ALGEBRA. VOL. 273. ISSUE 2. P. 435-454 17 94% 0
10 BELK, J , MATUCCI, F , (2016) ROVER'S SIMPLE GROUP IS OF TYPE F-INFINITY.PUBLICACIONS MATEMATIQUES. VOL. 60. ISSUE 2. P. 501 -524 15 79% 0

Classes with closest relation at Level 1



Rank Class id link
1 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
2 13914 RESTARTING AUTOMATON//FINITE DERIVATION TYPE//AUTOMATIC SEMIGROUP
3 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
4 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
5 21926 CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP
6 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP
7 25852 CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE
8 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
9 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
10 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES

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