Class information for:
Level 1: SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20051 478 15.8 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
20051 1                   SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM 478

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 SUBGROUP GROWTH authKW 429410 2% 61% 11
2 SURFACE BRANCHED COVERING authKW 319402 1% 100% 5
3 HURWITZ PROBLEM authKW 255522 1% 100% 4
4 REPRESENTATION GROWTH authKW 143730 1% 75% 3
5 DIJKGRAAF WITTEN INVARIANTS authKW 127761 0% 100% 2
6 FREE SUBGROUP NUMBERS authKW 127761 0% 100% 2
7 IDEAL GROWTH authKW 127761 0% 100% 2
8 PERMUTATION TUPLE authKW 127761 0% 100% 2
9 REGULAR COVERINGS OF A GRAPH authKW 127761 0% 100% 2
10 REPRESENTATION ZETA FUNCTION authKW 127761 0% 100% 2

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 21005 89% 0% 426
2 Mathematics, Applied 262 10% 0% 50
3 Multidisciplinary Sciences 209 4% 0% 18
4 Logic 14 0% 0% 2
5 Physics, Mathematical 2 1% 0% 6
6 Physics, Multidisciplinary 0 2% 0% 10
7 Mathematics, Interdisciplinary Applications -0 0% 0% 2
8 Statistics & Probability -1 0% 0% 1
9 Chemistry, Multidisciplinary -13 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 ANGEVIN RECH MATHEMAT LAREMA 63880 0% 100% 1
2 COMBINATORIAL COMPUTAT MATH 56080 1% 15% 6
3 SCI VISUALIZAT UNIT 31939 0% 50% 1
4 ZT SE 4 31939 0% 50% 1
5 COMBINATORIAL COMP MATH 21292 0% 33% 1
6 QUEEN MARY WESTFIELD MATH SCI 15969 0% 25% 1
7 QUEEN MARY WESTFIELD 14805 1% 6% 4
8 CNRSUMR 6621 12774 0% 20% 1
9 DISCRETE OPTIMIZAT 5805 0% 9% 1
10 ALGEBRA MATH LOG 4912 0% 8% 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 ISRAEL JOURNAL OF MATHEMATICS 8987 5% 1% 23
2 JOURNAL OF ALGEBRA 7433 8% 0% 39
3 JOURNAL OF GROUP THEORY 5764 2% 1% 9
4 DOKLADY AKADEMII NAUK BELARUSI 5674 3% 1% 16
5 DISCRETE MATHEMATICS 2859 5% 0% 23
6 SIBERIAN MATHEMATICAL JOURNAL 2545 2% 0% 11
7 AMERICAN JOURNAL OF MATHEMATICS 2295 2% 0% 8
8 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 2225 2% 0% 10
9 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 2143 1% 1% 6
10 GRAPHS AND COMBINATORICS 2094 2% 0% 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 SUBGROUP GROWTH 429410 2% 61% 11 Search SUBGROUP+GROWTH Search SUBGROUP+GROWTH
2 SURFACE BRANCHED COVERING 319402 1% 100% 5 Search SURFACE+BRANCHED+COVERING Search SURFACE+BRANCHED+COVERING
3 HURWITZ PROBLEM 255522 1% 100% 4 Search HURWITZ+PROBLEM Search HURWITZ+PROBLEM
4 REPRESENTATION GROWTH 143730 1% 75% 3 Search REPRESENTATION+GROWTH Search REPRESENTATION+GROWTH
5 DIJKGRAAF WITTEN INVARIANTS 127761 0% 100% 2 Search DIJKGRAAF+WITTEN+INVARIANTS Search DIJKGRAAF+WITTEN+INVARIANTS
6 FREE SUBGROUP NUMBERS 127761 0% 100% 2 Search FREE+SUBGROUP+NUMBERS Search FREE+SUBGROUP+NUMBERS
7 IDEAL GROWTH 127761 0% 100% 2 Search IDEAL+GROWTH Search IDEAL+GROWTH
8 PERMUTATION TUPLE 127761 0% 100% 2 Search PERMUTATION+TUPLE Search PERMUTATION+TUPLE
9 REGULAR COVERINGS OF A GRAPH 127761 0% 100% 2 Search REGULAR+COVERINGS+OF+A+GRAPH Search REGULAR+COVERINGS+OF+A+GRAPH
10 REPRESENTATION ZETA FUNCTION 127761 0% 100% 2 Search REPRESENTATION+ZETA+FUNCTION Search REPRESENTATION+ZETA+FUNCTION

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 EZZAT, S , (2014) COUNTING IRREDUCIBLE REPRESENTATIONS OF THE HEISENBERG GROUP OVER THE INTEGERS OF A QUADRATIC NUMBER FIELD.JOURNAL OF ALGEBRA. VOL. 397. ISSUE . P. 609 -624 12 92% 2
2 DU SAUTOY, M , (2008) ZETA FUNCTIONS OF GROUPS AND RINGS.ZETA FUNCTIONS OF GROUPS AND RINGS. VOL. 1925. ISSUE . P. 1-203 18 72% 0
3 TAKEGAHARA, Y , (2016) THE NUMBER OF HOMOMORPHISMS FROM A FINITE ABELIAN GROUP TO A SYMMETRIC GROUP (II).COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 6. P. 2402 -2442 10 100% 0
4 MULLER, TW , (2003) MODULAR SUBGROUP ARITHMETIC IN FREE PRODUCTS.FORUM MATHEMATICUM. VOL. 15. ISSUE 5. P. 759 -810 13 100% 3
5 VOLL, C , (2010) FUNCTIONAL EQUATIONS FOR ZETA FUNCTIONS OF GROUPS AND RINGS.ANNALS OF MATHEMATICS. VOL. 172. ISSUE 2. P. 1181 -1218 14 74% 10
6 MULLER, TW , SCHLAGE-PUCHTA, JC , (2004) CLASSIFICATION AND STATISTICS OF FINITE INDEX SUBGROUPS IN FREE PRODUCTS.ADVANCES IN MATHEMATICS. VOL. 188. ISSUE 1. P. 1-50 12 100% 3
7 MULLER, TW , SCHLAGE-PUCHTA, JC , (2005) MODULAR ARITHMETIC OF FREE SUBGROUPS.FORUM MATHEMATICUM. VOL. 17. ISSUE 3. P. 375-405 11 100% 3
8 PETROGRADSKY, VM , SUBBOTIN, IA , (2015) IDEAL GROWTH IN METABELIAN LIE P-ALGEBRAS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 4. P. 714 -724 9 90% 0
9 KLOPSCH, B , (2003) PRO-P GROUPS WITH LINEAR SUBGROUP GROWTH.MATHEMATISCHE ZEITSCHRIFT. VOL. 245. ISSUE 2. P. 335-370 11 100% 2
10 AVNI, N , KLOPSCH, B , ONN, U , VOLL, C , (2013) REPRESENTATION ZETA FUNCTIONS OF COMPACT P-ADIC ANALYTIC GROUPS AND ARITHMETIC GROUPS.DUKE MATHEMATICAL JOURNAL. VOL. 162. ISSUE 1. P. 111-197 13 62% 7

Classes with closest relation at Level 1


Rank Class id link
1 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
2 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
3 21354 WORD MAPS//VERBAL WIDTH//VERBAL SUBGROUP
4 28720 WEIL REPRESENTATION//GLOBALLY IRREDUCIBLE REPRESENTATIONS//ANZAHL THEOREM
5 16627 ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS
6 6358 FLAG TRANSITIVE//POINT PRIMITIVE//BLOCK TRANSITIVE
7 27680 FITTING CLASS//LOCKETT CLASS//LATTICE OF FORMATIONS
8 19762 ELEMENTARY SUBGROUP//CHEVALLEY GROUPS//DECOMPOSITION OF UNIPOTENTS
9 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
10 30664 FIREFIGHTER PROBLEM//SURVIVING RATE//RUPTURE DEGREE

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