Class information for:
Level 1: ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
16627 644 12.7 30%



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
16627 1                   ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS 644

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 ENGEL ELEMENTS authKW 364718 2% 77% 10
2 ASSOCIATED LIE RINGS authKW 284483 1% 100% 6
3 INFINITE SUBSETS authKW 243841 1% 86% 6
4 RESTRICTED BURNSIDE PROBLEM authKW 237069 1% 100% 5
5 VERBAL SUBGROUPS authKW 216742 1% 57% 8
6 ENGEL GROUPS authKW 211202 1% 64% 7
7 CENTRALIZERS authKW 201483 3% 25% 17
8 ALPERIN GROUP authKW 189656 1% 100% 4
9 FINITELY GENERATED SOLUBLE GROUPS authKW 189656 1% 100% 4
10 FIXED POINT FREE ACTION authKW 189656 1% 100% 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 35110 99% 0% 638
2 Mathematics, Applied 480 12% 0% 77
3 Logic 145 1% 0% 7
4 Statistics & Probability 19 2% 0% 12
5 Multidisciplinary Sciences 0 0% 0% 2
6 Computer Science, Theory & Methods -0 1% 0% 4
7 Mechanics -5 0% 0% 1
8 Neurosciences -17 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 MATEMAT SAILA 100398 1% 35% 6
2 AREAS 63217 0% 67% 2
3 ADV STUDIES MATH SECT 47414 0% 100% 1
4 CIENCIAS ZIENTZI FAK 47414 0% 100% 1
5 AUSTRALIAN MATH TRUST 23706 0% 50% 1
6 ESCUELA UNIV MAGISTERIO BILBAO 15803 0% 33% 1
7 HBEREICH MATH AG 2 15803 0% 33% 1
8 MATEMAT MATEMAT SAILA 11852 0% 25% 1
9 DIPARTIMENTO FILOSOFIA BENI CULTURALI 9479 0% 10% 2
10 EBS 7583 0% 8% 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 JOURNAL OF ALGEBRA 42534 17% 1% 108
2 JOURNAL OF GROUP THEORY 33062 4% 3% 25
3 COMMUNICATIONS IN ALGEBRA 22670 11% 1% 68
4 ARCHIV DER MATHEMATIK 14309 6% 1% 39
5 SIBERIAN MATHEMATICAL JOURNAL 11426 4% 1% 27
6 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 11344 2% 1% 16
7 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA 10740 1% 3% 9
8 ISRAEL JOURNAL OF MATHEMATICS 9186 4% 1% 27
9 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 8196 4% 1% 24
10 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 5972 2% 1% 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 ENGEL ELEMENTS 364718 2% 77% 10 Search ENGEL+ELEMENTS Search ENGEL+ELEMENTS
2 ASSOCIATED LIE RINGS 284483 1% 100% 6 Search ASSOCIATED+LIE+RINGS Search ASSOCIATED+LIE+RINGS
3 INFINITE SUBSETS 243841 1% 86% 6 Search INFINITE+SUBSETS Search INFINITE+SUBSETS
4 RESTRICTED BURNSIDE PROBLEM 237069 1% 100% 5 Search RESTRICTED+BURNSIDE+PROBLEM Search RESTRICTED+BURNSIDE+PROBLEM
5 VERBAL SUBGROUPS 216742 1% 57% 8 Search VERBAL+SUBGROUPS Search VERBAL+SUBGROUPS
6 ENGEL GROUPS 211202 1% 64% 7 Search ENGEL+GROUPS Search ENGEL+GROUPS
7 CENTRALIZERS 201483 3% 25% 17 Search CENTRALIZERS Search CENTRALIZERS
8 ALPERIN GROUP 189656 1% 100% 4 Search ALPERIN+GROUP Search ALPERIN+GROUP
9 FINITELY GENERATED SOLUBLE GROUPS 189656 1% 100% 4 Search FINITELY+GENERATED+SOLUBLE+GROUPS Search FINITELY+GENERATED+SOLUBLE+GROUPS
10 FIXED POINT FREE ACTION 189656 1% 100% 4 Search FIXED+POINT+FREE+ACTION Search FIXED+POINT+FREE+ACTION

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 KHUKHRO, EI , (2015) ON FINITE SOLUBLE GROUPS WITH ALMOST FIXED-POINT-FREE AUTOMORPHISMS OF NONCOPRIME ORDER.SIBERIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 3. P. 541 -548 16 100% 0
2 SHUMYATSKY, P , (2007) CENTRALIZERS IN LOCALLY FINITE GROUPS.TURKISH JOURNAL OF MATHEMATICS. VOL. 31. ISSUE . P. 149-170 23 77% 5
3 KHUKHRO, EI , MAKARENKO, NY , (2013) FINITE GROUPS AND LIE RINGS WITH A METACYCLIC FROBENIUS GROUP OF AUTOMORPHISMS.JOURNAL OF ALGEBRA. VOL. 386. ISSUE . P. 77-104 14 93% 1
4 ERCAN, G , GULOGLU, I , KHUKHRO, EI , (2014) RANK AND ORDER OF A FINITE GROUP ADMITTING A FROBENIUS-LIKE GROUP OF AUTOMORPHISMS.ALGEBRA AND LOGIC. VOL. 53. ISSUE 3. P. 258 -265 13 93% 2
5 KHUKHRO, EI , SHUMYATSKY, P , (2014) WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 97. ISSUE 3. P. 343 -364 12 100% 2
6 TRABELSI, N , (2005) SOLUBLE GROUPS WITH MANY 2-GENERATOR TORSION-BY-NILPOTENT SUBGROUPS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 67. ISSUE 1-2. P. 93-102 15 100% 2
7 SHUMYATSKY, P , (2013) EXPONENT OF A FINITE GROUP WITH A FIXED-POINT-FREE FOUR-GROUP OF AUTOMORPHISMS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 194. ISSUE 2. P. 895-906 13 93% 0
8 KHUKHRO, EI , MAKARENKO, NY , (2015) FINITE P-GROUPS WITH A FROBENIUS GROUP OF AUTOMORPHISMS WHOSE KERNEL IS A CYCLIC P-GROUP.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 143. ISSUE 5. P. 1837 -1848 13 87% 0
9 RUSSO, FG , (2014) ON A PROBLEM OF P. HALL FOR ENGEL WORDS II.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 90. ISSUE 2. P. 237 -246 11 100% 0
10 QUEK, SG , WONG, KB , WONG, PC , (2016) ON THE EXISTENCE OF ENGEL PAIRS IN CERTAIN LINEAR GROUPS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 4. P. - 10 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 21072 SCHUR MULTIPLIER//COMMUTATIVITY DEGREE//NON ABELIAN TENSOR SQUARE
2 14820 MAXIMAL CONDITION//MINIMAL CONDITION//FUNDAMENTAL NUMER MATH
3 29338 REWRITABLE GROUPS//NON NILPOTENT SUBGROUP//NON ABELIAN SUBGROUP
4 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
5 21354 WORD MAPS//VERBAL WIDTH//VERBAL SUBGROUP
6 26199 MINIMAL NONABELIAN P GROUPS//METACYCLIC P GROUPS//NON NORMAL SUBGROUPS
7 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
8 20051 SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM
9 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
10 35895 PERIODIC GROUP//LOCALLY FINITE GROUP//SIBERIAN STATE UNIV TELECOMMUN INFORMAT SCI

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