Class information for:
Level 1: KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15272 722 17.7 35%


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
15272 1                   KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP 722

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 KAC MOODY GROUPS authKW 548528 3% 62% 21
2 TWIN BUILDINGS authKW 434994 2% 86% 12
3 COXETER GROUP authKW 412505 9% 16% 62
4 TITS METRIC authKW 259033 1% 88% 7
5 CAT0 GROUP authKW 176212 1% 83% 5
6 LOCAL ALTERNATIVE RING authKW 169166 1% 100% 4
7 MOUFANG KLINGENBERG PLANES authKW 169166 1% 100% 4
8 TWIN TREES authKW 169166 1% 100% 4
9 HYPERBOLIC BUILDING authKW 152244 1% 60% 6
10 GROUP BOUNDARY authKW 135331 1% 80% 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 36582 96% 0% 690
2 Mathematics, Applied 439 11% 0% 79
3 Physics, Mathematical 51 3% 0% 22
4 Logic 1 0% 0% 1
5 Multidisciplinary Sciences 0 0% 0% 3
6 Computer Science, Theory & Methods -0 1% 0% 4
7 Statistics & Probability -1 0% 0% 2
8 Mechanics -5 0% 0% 2
9 Physics, Particles & Fields -6 0% 0% 1
10 Physics, Multidisciplinary -12 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 IRMP 45038 1% 15% 7
2 CNRS 5669 42291 0% 100% 1
3 ELIE CARTAN LORRAIN 42291 0% 100% 1
4 GEOMET TOPOL ALGEBRE 42291 0% 100% 1
5 IST DISCIPLINE SCI TECN 42291 0% 100% 1
6 O MATH BESANCORN 42291 0% 100% 1
7 SFB MATH 343 42291 0% 100% 1
8 STEVENSON 1516 42291 0% 100% 1
9 UMR LMBA 6205 42291 0% 100% 1
10 UNITE MIXTE RECH 7502 ELIE CARTAN 42291 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 GEOMETRIAE DEDICATA 38221 7% 2% 52
2 GROUPS GEOMETRY AND DYNAMICS 37117 2% 5% 17
3 JOURNAL OF GROUP THEORY 31893 4% 3% 26
4 ADVANCES IN GEOMETRY 10334 2% 2% 12
5 JOURNAL OF ALGEBRA 9425 7% 0% 54
6 JOURNAL OF LIE THEORY 8053 2% 2% 12
7 ALGEBRAIC AND GEOMETRIC TOPOLOGY 6997 2% 1% 14
8 PUBLICATIONS MATHEMATIQUES 4968 1% 3% 4
9 COMMENTARII MATHEMATICI HELVETICI 4775 2% 1% 12
10 MATHEMATISCHE ZEITSCHRIFT 4030 3% 0% 22

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 KAC MOODY GROUPS 548528 3% 62% 21 Search KAC+MOODY+GROUPS Search KAC+MOODY+GROUPS
2 TWIN BUILDINGS 434994 2% 86% 12 Search TWIN+BUILDINGS Search TWIN+BUILDINGS
3 COXETER GROUP 412505 9% 16% 62 Search COXETER+GROUP Search COXETER+GROUP
4 TITS METRIC 259033 1% 88% 7 Search TITS+METRIC Search TITS+METRIC
5 CAT0 GROUP 176212 1% 83% 5 Search CAT0+GROUP Search CAT0+GROUP
6 LOCAL ALTERNATIVE RING 169166 1% 100% 4 Search LOCAL+ALTERNATIVE+RING Search LOCAL+ALTERNATIVE+RING
7 MOUFANG KLINGENBERG PLANES 169166 1% 100% 4 Search MOUFANG+KLINGENBERG+PLANES Search MOUFANG+KLINGENBERG+PLANES
8 TWIN TREES 169166 1% 100% 4 Search TWIN+TREES Search TWIN+TREES
9 HYPERBOLIC BUILDING 152244 1% 60% 6 Search HYPERBOLIC+BUILDING Search HYPERBOLIC+BUILDING
10 GROUP BOUNDARY 135331 1% 80% 4 Search GROUP+BOUNDARY Search GROUP+BOUNDARY

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 CAPRACE, PE , REMY, B , (2009) SIMPLICITY AND SUPERRIGIDITY OF TWIN BUILDING LATTICES.INVENTIONES MATHEMATICAE. VOL. 176. ISSUE 1. P. 169 -221 24 77% 21
2 MUEHLHERR, B , NUIDA, K , (2016) INTRINSIC REFLECTIONS IN COXETER SYSTEMS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 144. ISSUE . P. 326 -360 16 100% 0
3 THOMAS, A , (2012) EXISTENCE, COVOLUMES AND INFINITE GENERATION OF LATTICES FOR DAVIS COMPLEXES.GROUPS GEOMETRY AND DYNAMICS. VOL. 6. ISSUE 4. P. 765-801 18 86% 0
4 HOSAKA, T , (2015) ON EQUIVARIANT HOMEOMORPHISMS OF BOUNDARIES OF CAT(0) GROUPS AND COXETER GROUPS.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 43. ISSUE . P. 68 -94 21 68% 0
5 BLOK, RJ , HOFFMAN, CG , (2014) CURTIS-TITS GROUPS GENERALIZING KAC-MOODY GROUPS OF TYPE (A)OVER-TILDE(N-1).JOURNAL OF ALGEBRA. VOL. 399. ISSUE . P. 978-1012 18 75% 0
6 DAVIS, MW , (2009) EXAMPLES OF BUILDINGS CONSTRUCTED VIA COVERING SPACES.GROUPS GEOMETRY AND DYNAMICS. VOL. 3. ISSUE 2. P. 279 -298 16 89% 1
7 THOMAS, A , (2007) COVOLUMES OF UNIFORM LATTICES ACTING ON POLYHEDRAL COMPLEXES.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 39. ISSUE . P. 103 -111 16 84% 1
8 ALLCOCK, D , (2016) STEINBERG GROUPS AS AMALGAMS.ALGEBRA & NUMBER THEORY. VOL. 10. ISSUE 8. P. 1791 -1843 11 92% 0
9 CARBONE, L , KANGASLAMPI, R , VDOVINA, A , (2012) GROUPS ACTING SIMPLY TRANSITIVELY ON VERTEX SETS OF HYPERBOLIC TRIANGULAR BUILDINGS.LMS JOURNAL OF COMPUTATION AND MATHEMATICS. VOL. 15. ISSUE . P. 101-112 14 78% 0
10 BENNETT, H , MOONEY, C , SPATZIER, R , (2016) AFFINE MAPS BETWEEN CAT(0) SPACES.GEOMETRIAE DEDICATA. VOL. 180. ISSUE 1. P. 1 -16 13 76% 0

Classes with closest relation at Level 1


Rank Class id link
1 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
2 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
3 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
4 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
5 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
6 30512 LIGHTS OUT PUZZLE//LIGHTS OUT//CHEBYSHEV DICKSON POLYNOMIAL
7 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
8 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
9 12149 DUAL POLAR SPACE//NEAR POLYGON//PURE MATH COMP ALGEBRA
10 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY

Go to start page