Class information for:
Level 1: FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2654 2184 19.8 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
2654 1                   FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS 2184

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 FREE GROUP authKW 412971 4% 30% 98
2 CONJUGACY SEPARABLE authKW 391429 1% 100% 28
3 RELATIVELY HYPERBOLIC GROUPS authKW 377431 2% 75% 36
4 RESIDUALLY FINITE authKW 362331 2% 72% 36
5 RIGHT ANGLED ARTIN GROUP authKW 351296 2% 74% 34
6 GENERALIZED FREE PRODUCTS authKW 349480 1% 83% 30
7 HYPERBOLIC GROUPS authKW 319197 2% 43% 53
8 LIMIT GROUPS authKW 265613 1% 100% 19
9 DEHN FUNCTION authKW 259739 1% 77% 24
10 GROUPS GEOMETRY AND DYNAMICS journal 238897 3% 23% 75

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 116876 98% 0% 2144
2 Logic 3900 3% 0% 65
3 Mathematics, Applied 1711 12% 0% 267
4 Computer Science, Theory & Methods 3 1% 0% 23
5 Multidisciplinary Sciences -1 0% 0% 4
6 Computer Science, Software Engineering -1 0% 0% 8
7 Computer Science, Information Systems -3 0% 0% 8
8 Statistics & Probability -3 0% 0% 6
9 Philosophy -4 0% 0% 1
10 Computer Science, Hardware & Architecture -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 MAT L 3 113233 0% 90% 9
2 MATH LATP 107531 0% 77% 10
3 MEHMAT 75483 0% 60% 9
4 OMSK BRANCH 35810 1% 13% 20
5 MATH 31092 45% 0% 972
6 AEFER ENGN SCI 27955 0% 50% 4
7 E PICARD 20136 0% 21% 7
8 UMR 6139 19871 1% 8% 17
9 FORMALE METHODEN INFORMAT 16298 0% 17% 7
10 MATH STUDIES 16218 1% 6% 20

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 238897 3% 23% 75
2 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 214434 6% 12% 128
3 JOURNAL OF GROUP THEORY 107453 4% 9% 83
4 ALGEBRA AND LOGIC 91220 2% 14% 46
5 GEOMETRY & TOPOLOGY 54196 3% 7% 58
6 GEOMETRIC AND FUNCTIONAL ANALYSIS 44807 3% 6% 58
7 ALGEBRAIC AND GEOMETRIC TOPOLOGY 43968 3% 5% 61
8 GEOMETRIAE DEDICATA 35291 4% 3% 87
9 COMMENTARII MATHEMATICI HELVETICI 23222 2% 4% 46
10 JOURNAL OF ALGEBRA 19718 6% 1% 136

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 FREE GROUP 412971 4% 30% 98 Search FREE+GROUP Search FREE+GROUP
2 CONJUGACY SEPARABLE 391429 1% 100% 28 Search CONJUGACY+SEPARABLE Search CONJUGACY+SEPARABLE
3 RELATIVELY HYPERBOLIC GROUPS 377431 2% 75% 36 Search RELATIVELY+HYPERBOLIC+GROUPS Search RELATIVELY+HYPERBOLIC+GROUPS
4 RESIDUALLY FINITE 362331 2% 72% 36 Search RESIDUALLY+FINITE Search RESIDUALLY+FINITE
5 RIGHT ANGLED ARTIN GROUP 351296 2% 74% 34 Search RIGHT+ANGLED+ARTIN+GROUP Search RIGHT+ANGLED+ARTIN+GROUP
6 GENERALIZED FREE PRODUCTS 349480 1% 83% 30 Search GENERALIZED+FREE+PRODUCTS Search GENERALIZED+FREE+PRODUCTS
7 HYPERBOLIC GROUPS 319197 2% 43% 53 Search HYPERBOLIC+GROUPS Search HYPERBOLIC+GROUPS
8 LIMIT GROUPS 265613 1% 100% 19 Search LIMIT+GROUPS Search LIMIT+GROUPS
9 DEHN FUNCTION 259739 1% 77% 24 Search DEHN+FUNCTION Search DEHN+FUNCTION
10 HNN EXTENSIONS 229297 2% 46% 36 Search HNN+EXTENSIONS Search HNN+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 KHARLAMPOVICH, O , MYASNIKOV, A , SERBIN, D , (2013) ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 23. ISSUE 2. P. 325-455 58 98% 4
2 SAPIR, M , (2011) ASYMPTOTIC INVARIANTS, COMPLEXITY OF GROUPS AND RELATED PROBLEMS.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 1. ISSUE 2. P. 277-364 69 73% 2
3 GUIRARDEL, V , LEVITT, G , (2015) SPLITTINGS AND AUTOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS.GROUPS GEOMETRY AND DYNAMICS. VOL. 9. ISSUE 2. P. 599 -663 41 98% 2
4 CASALS-RUIZ, M , KAZACHKOV, I , (2011) ON SYSTEMS OF EQUATIONS OVER FREE PARTIALLY COMMUTATIVE GROUPS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 212. ISSUE 999. P. 1-+ 44 98% 0
5 KAPOVICH, I , LUSTIG, M , (2015) PATTERSON-SULLIVAN CURRENTS, GENERIC STRETCHING FACTORS AND THE ASYMMETRIC LIPSCHITZ METRIC FOR OUTER SPACE.PACIFIC JOURNAL OF MATHEMATICS. VOL. 277. ISSUE 2. P. 371 -398 31 91% 0
6 GROVES, D , (2009) LIMIT GROUPS FOR RELATIVELY HYPERBOLIC GROUPS. I. THE BASIC TOOLS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 9. ISSUE 3. P. 1423-1466 34 92% 9
7 CASALS-RUIZ, M , KAZACHKOV, I , (2015) LIMIT GROUPS OVER PARTIALLY COMMUTATIVE GROUPS AND GROUP ACTIONS ON REAL CUBINGS.GEOMETRY & TOPOLOGY. VOL. 19. ISSUE 2. P. 725 -852 29 91% 1
8 VOGTMANN, K , (2002) AUTOMORPHISMS OF FREE GROUPS AND OUTER SPACE.GEOMETRIAE DEDICATA. VOL. 94. ISSUE 1. P. 1-31 50 68% 56
9 MINASYAN, A , (2012) HEREDITARY CONJUGACY SEPARABILITY OF RIGHT-ANGLED ARTIN GROUPS AND ITS APPLICATIONS.GROUPS GEOMETRY AND DYNAMICS. VOL. 6. ISSUE 2. P. 335 -388 28 90% 13
10 GROFF, BW , (2013) QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS.JOURNAL OF TOPOLOGY AND ANALYSIS. VOL. 5. ISSUE 4. P. 451-475 27 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
2 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP
3 21926 CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP
4 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
5 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
6 13914 RESTARTING AUTOMATON//FINITE DERIVATION TYPE//AUTOMATIC SEMIGROUP
7 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
8 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
9 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
10 32114 PRIME GROUPS//QFA GROUPS//ALGEBRAIC MATROIDS

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