Class information for:
Level 1: CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21926 400 14.5 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
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
21926 1                   CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP 400

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 CYCLICALLY PRESENTED GROUP authKW 693976 3% 91% 10
2 CYCLIC PRESENTATIONS authKW 488557 2% 80% 8
3 FIBONACCI GROUP authKW 458025 2% 100% 6
4 GENERALIZED TRIANGLE GROUP authKW 392591 2% 86% 6
5 EQUATIONS OVER GROUPS authKW 343516 2% 75% 6
6 FREIHEITSSATZ authKW 340044 2% 64% 7
7 RELATIVE PRESENTATIONS authKW 305350 1% 100% 4
8 ASPHERICITY authKW 232622 4% 19% 16
9 ONE RELATOR FREE PRODUCTS authKW 229013 1% 100% 3
10 ANDREWS CURTIS CONJECTURE authKW 203564 1% 67% 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 21777 99% 0% 396
2 Mathematics, Applied 330 13% 0% 50
3 Logic 17 1% 0% 2
4 History & Philosophy of Science 5 1% 0% 2
5 Statistics & Probability 3 1% 0% 5
6 Computer Science, Theory & Methods 0 1% 0% 3
7 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 RENYI ALFRED KUTATOINTEZET 76338 0% 100% 1
2 CNRS UPS IMT 25445 0% 33% 1
3 KEENE STATE 25445 0% 33% 1
4 ARC COMPLEX SYST 23686 1% 10% 3
5 AUTOMATED EDULING OPTIMISAT PLANNING AS RE 6360 0% 8% 1
6 FOR UNGS MATH 4489 0% 6% 1
7 FORMAL METHODS COMP SCI 3815 0% 5% 1
8 MATH STAT ACTUARIAL SCI 2768 1% 1% 5
9 DISCRETE MATH COMP 2651 1% 2% 2
10 MATH 2382 29% 0% 117

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 68694 8% 3% 31
2 JOURNAL OF GROUP THEORY 34078 5% 2% 20
3 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 16004 5% 1% 18
4 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 9544 5% 1% 20
5 GLASGOW MATHEMATICAL JOURNAL 8811 3% 1% 13
6 COMMUNICATIONS IN ALGEBRA 8581 8% 0% 33
7 JOURNAL OF PURE AND APPLIED ALGEBRA 6907 6% 0% 23
8 ANNALS OF MATHEMATICS STUDIES 5469 1% 2% 4
9 JOURNAL OF ALGEBRA 3937 7% 0% 26
10 COMMENTARII MATHEMATICI HELVETICI 3834 2% 1% 8

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 CYCLICALLY PRESENTED GROUP 693976 3% 91% 10 Search CYCLICALLY+PRESENTED+GROUP Search CYCLICALLY+PRESENTED+GROUP
2 CYCLIC PRESENTATIONS 488557 2% 80% 8 Search CYCLIC+PRESENTATIONS Search CYCLIC+PRESENTATIONS
3 FIBONACCI GROUP 458025 2% 100% 6 Search FIBONACCI+GROUP Search FIBONACCI+GROUP
4 GENERALIZED TRIANGLE GROUP 392591 2% 86% 6 Search GENERALIZED+TRIANGLE+GROUP Search GENERALIZED+TRIANGLE+GROUP
5 EQUATIONS OVER GROUPS 343516 2% 75% 6 Search EQUATIONS+OVER+GROUPS Search EQUATIONS+OVER+GROUPS
6 FREIHEITSSATZ 340044 2% 64% 7 Search FREIHEITSSATZ Search FREIHEITSSATZ
7 RELATIVE PRESENTATIONS 305350 1% 100% 4 Search RELATIVE+PRESENTATIONS Search RELATIVE+PRESENTATIONS
8 ASPHERICITY 232622 4% 19% 16 Search ASPHERICITY Search ASPHERICITY
9 ONE RELATOR FREE PRODUCTS 229013 1% 100% 3 Search ONE+RELATOR+FREE+PRODUCTS Search ONE+RELATOR+FREE+PRODUCTS
10 ANDREWS CURTIS CONJECTURE 203564 1% 67% 4 Search ANDREWS+CURTIS+CONJECTURE Search ANDREWS+CURTIS+CONJECTURE

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 WILLIAMS, G , (2012) GROUPS OF FIBONACCI TYPE REVISITED.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 22. ISSUE 8. P. - 23 92% 0
2 BOGLEY, WA , WILLIAMS, G , (2016) EFFICIENT FINITE GROUPS ARISING IN THE STUDY OF RELATIVE ASPHERICITY.MATHEMATISCHE ZEITSCHRIFT. VOL. 284. ISSUE 1-2. P. 507 -535 21 75% 0
3 WILLIAMS, G , (2012) LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 22. ISSUE 4. P. - 19 86% 0
4 BOGLEY, WA , (2014) ON SHIFT DYNAMICS FOR CYCLICALLY PRESENTED GROUPS.JOURNAL OF ALGEBRA. VOL. 418. ISSUE . P. 154 -173 15 94% 0
5 KLYACHKO, AA , LURYE, DE , (2012) RELATIVE HYPERBOLICITY AND SIMILAR PROPERTIES OF ONE-GENERATOR ONE-RELATOR RELATIVE PRESENTATIONS WITH POWERED UNIMODULAR RELATOR.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 216. ISSUE 3. P. 524-534 16 84% 0
6 JUHASZ, A , (2004) ON THE SOLVABILITY OF EQUATIONS OVER GROUPS.COMMUNICATIONS IN ALGEBRA. VOL. 32. ISSUE 4. P. 1487-1496 14 100% 0
7 HOWIE, J , SHWARTZ, R , (2004) ONE-RELATOR PRODUCTS INDUCED FROM GENERALIZED TRIANGLE GROUPS.COMMUNICATIONS IN ALGEBRA. VOL. 32. ISSUE 7. P. 2505-2526 13 100% 2
8 HOWIE, J , WILLIAMS, G , (2017) FIBONACCI TYPE PRESENTATIONS AND 3-MANIFOLDS.TOPOLOGY AND ITS APPLICATIONS. VOL. 215. ISSUE . P. 24 -34 13 72% 0
9 EDJVET, M , SWAN, J , (2014) ON IRREDUCIBLE CYCLIC PRESENTATIONS OF THE TRIVIAL GROUP.EXPERIMENTAL MATHEMATICS. VOL. 23. ISSUE 2. P. 181 -189 10 91% 1
10 WILLIAMS, G , (2014) FIBONACCI TYPE SEMIGROUPS.ALGEBRA COLLOQUIUM. VOL. 21. ISSUE 4. P. 647 -652 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
2 27463 AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING
3 21003 THOMPSONS GROUP//FINITENESS PROPERTIES//SIGMA INVARIANTS
4 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
5 13914 RESTARTING AUTOMATON//FINITE DERIVATION TYPE//AUTOMATIC SEMIGROUP
6 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
7 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
8 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
9 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
10 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

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