Class information for:
Level 1: SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
18288 558 17.5 32%



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
831 2             FINITE GROUP//JOURNAL OF ALGEBRA//MATHEMATICS 11829
18288 1                   SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS 558

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 SELF SIMILAR GROUPS authKW 841863 4% 77% 20
2 AUTOMATON GROUP authKW 656660 2% 100% 12
3 BRANCH GROUPS authKW 472947 2% 79% 11
4 AUTOMATA GROUPS authKW 456011 2% 83% 10
5 AUTOMORPHISMS OF ROOTED TREES authKW 437774 1% 100% 8
6 AUTOMATON SEMIGROUP authKW 383052 1% 100% 7
7 JUST INFINITE GROUPS authKW 350216 1% 80% 8
8 GRIGORCHUK GROUP authKW 348482 2% 58% 11
9 AUTOMORPHISMS OF TREES authKW 328330 1% 100% 6
10 GROUPS ACTING ON ROOTED TREES authKW 328330 1% 100% 6

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 29223 97% 0% 542
2 Mathematics, Applied 449 12% 0% 69
3 Computer Science, Theory & Methods 4 1% 0% 8
4 Statistics & Probability 1 1% 0% 5
5 Computer Science, Cybernetics 1 0% 0% 1
6 Multidisciplinary Sciences 0 0% 0% 2
7 Physics, Mathematical -1 0% 0% 2
8 Mechanics -3 0% 0% 2

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 STRUKTURTHEORIE MATH C 79590 1% 36% 4
2 AS POPOV UKRANIAN STATE COMMUN 54722 0% 100% 1
3 E PICARD UMR 5580 54722 0% 100% 1
4 GEOINFORMAT SYST LAND MANAGEMENT 54722 0% 100% 1
5 HIGHER ALEGBRA 54722 0% 100% 1
6 ICLMA 54722 0% 100% 1
7 MATEMAT UAM 54722 0% 100% 1
8 RUSSIAN FOREIGN TRADE 54722 0% 100% 1
9 SB IGAT MAD 54722 0% 100% 1
10 SB IMB MAD 54722 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 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 133297 9% 5% 51
2 GROUPS GEOMETRY AND DYNAMICS 103908 4% 8% 25
3 JOURNAL OF ALGEBRA 26242 14% 1% 79
4 BULLETIN OF MATHEMATICAL SCIENCES 10293 1% 5% 4
5 GEOMETRIAE DEDICATA 8832 4% 1% 22
6 JOURNAL OF MODERN DYNAMICS 6017 1% 2% 5
7 HOUSTON JOURNAL OF MATHEMATICS 5498 3% 1% 14
8 JOURNAL OF GROUP THEORY 4935 2% 1% 9
9 MATHEMATICAL NOTES 4366 4% 0% 20
10 COMMUNICATIONS IN ALGEBRA 4096 5% 0% 27

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 SELF SIMILAR GROUPS 841863 4% 77% 20 Search SELF+SIMILAR+GROUPS Search SELF+SIMILAR+GROUPS
2 AUTOMATON GROUP 656660 2% 100% 12 Search AUTOMATON+GROUP Search AUTOMATON+GROUP
3 BRANCH GROUPS 472947 2% 79% 11 Search BRANCH+GROUPS Search BRANCH+GROUPS
4 AUTOMATA GROUPS 456011 2% 83% 10 Search AUTOMATA+GROUPS Search AUTOMATA+GROUPS
5 AUTOMORPHISMS OF ROOTED TREES 437774 1% 100% 8 Search AUTOMORPHISMS+OF+ROOTED+TREES Search AUTOMORPHISMS+OF+ROOTED+TREES
6 AUTOMATON SEMIGROUP 383052 1% 100% 7 Search AUTOMATON+SEMIGROUP Search AUTOMATON+SEMIGROUP
7 JUST INFINITE GROUPS 350216 1% 80% 8 Search JUST+INFINITE+GROUPS Search JUST+INFINITE+GROUPS
8 GRIGORCHUK GROUP 348482 2% 58% 11 Search GRIGORCHUK+GROUP Search GRIGORCHUK+GROUP
9 AUTOMORPHISMS OF TREES 328330 1% 100% 6 Search AUTOMORPHISMS+OF+TREES Search AUTOMORPHISMS+OF+TREES
10 GROUPS ACTING ON ROOTED TREES 328330 1% 100% 6 Search GROUPS+ACTING+ON+ROOTED+TREES Search GROUPS+ACTING+ON+ROOTED+TREES

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 PETROGRADSKY, V , (2017) NIL LIE P-ALGEBRAS OF SLOW GROWTH.COMMUNICATIONS IN ALGEBRA. VOL. 45. ISSUE 7. P. 2912 -2941 22 81% 0
2 GRIGORCHUK, RI , (2011) SOME TOPICS IN THE DYNAMICS OF GROUP ACTIONS ON ROOTED TREES.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 273. ISSUE 1. P. 64 -175 36 50% 11
3 PETROGRADSKY, V , (2016) FRACTAL NIL GRADED LIE SUPERALGEBRAS.JOURNAL OF ALGEBRA. VOL. 466. ISSUE . P. 229 -283 22 76% 0
4 BARTHOLDI, L , (2006) BRANCH RINGS, THINNED RINGS, TREE ENVELOPING RINGS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 154. ISSUE . P. 93 -139 21 81% 19
5 KLIMANN, I , (2016) AUTOMATON SEMIGROUPS: THE TWO-STATE CASE.THEORY OF COMPUTING SYSTEMS. VOL. 58. ISSUE 4. P. 664 -680 13 100% 0
6 BABENKO, IK , (2013) ALGEBRA, GEOMETRY, AND TOPOLOGY OF THE SUBSTITUTION GROUP OF FORMAL POWER SERIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 1. P. 1 -68 22 61% 5
7 KLIMANN, I , PICANTIN, M , SAVCHUK, D , (2016) ORBIT AUTOMATA AS A NEW TOOL TO ATTACK THE ORDER PROBLEM IN AUTOMATON GROUPS.JOURNAL OF ALGEBRA. VOL. 445. ISSUE . P. 433 -457 12 100% 1
8 JUSCHENKO, K , NEKRASHEVYCH, V , DE LA SALLE, M , (2016) EXTENSIONS OF AMENABLE GROUPS BY RECURRENT GROUPOIDS.INVENTIONES MATHEMATICAE. VOL. 206. ISSUE 3. P. 837 -867 18 62% 1
9 WORYNA, A , (2015) THE CHARACTERIZATION BY AUTOMATA OF CERTAIN PROFINITE GROUPS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 219. ISSUE 5. P. 1564 -1591 14 88% 0
10 AMIR, G , ANGEL, O , BON, NM , VIRAG, B , (2016) THE LIOUVILLE PROPERTY FOR GROUPS ACTING ON ROOTED TREES.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 52. ISSUE 4. P. 1763 -1783 15 79% 0

Classes with closest relation at Level 1



Rank Class id link
1 20051 SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM
2 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
3 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
4 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
5 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
6 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
7 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
8 16627 ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS
9 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
10 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY

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