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Volumn 45, Issue 1, 2013, Pages 137-150

Compact groups with a dense free abelian subgroup1

Author keywords

Compact group; Dense subgroup; Divisible weight; Free abelian subgroup; Topological free rank; Topological generators; W divisible group

Indexed keywords


EID: 84893854335     PISSN: 00494704     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 0035607047 scopus 로고    scopus 로고
    • Locally compact abelian groups admitting totally suitable sets
    • E. Boschi and D. Dikranjan, Locally compact abelian groups admitting totally suitable sets, J. Group Theory 4 (2001) 59-73.
    • (2001) J. Group Theory , vol.4 , pp. 59-73
    • Boschi, E.1    Dikranjan, D.2
  • 2
    • 0037910114 scopus 로고    scopus 로고
    • On the poset of totally dense subgroups of compact groups
    • W. W. Comfort and D. Dikranjan, On the poset of totally dense subgroups of compact groups, Topology Proc. 24 (1999) 103-128.
    • (1999) Topology Proc , vol.24 , pp. 103-128
    • Comfort, W.W.1    Dikranjan, D.2
  • 3
    • 0036311596 scopus 로고    scopus 로고
    • Essential Density and Total Density In Topological Groups
    • W. W. Comfort and D. Dikranjan, Essential Density and Total Density In Topological Groups, J. Group Theory 5 (3) (2002) 325-350.
    • (2002) J. Group Theory , vol.5 , Issue.3 , pp. 325-350
    • Comfort, W.W.1    Dikranjan, D.2
  • 6
    • 0002267881 scopus 로고
    • Concerning connected, pseudocompact Abelian groups
    • W.W. Comfort and J. van Mill, Concerning connected, pseudocompact Abelian groups, Topology Appl. 33 (1989) 21-45.
    • (1989) Topology Appl , vol.33 , pp. 21-45
    • Comfort, W.W.1    van Mill, J.2
  • 7
    • 4944253371 scopus 로고
    • Some topological groups with, and some without, proper dense subgroups
    • W. W. Comfort and J. van Mill, Some topological groups with, and some without, proper dense subgroups, Topology Appl. 41 (1-2) (1991) 3-15.
    • (1991) Topology Appl , vol.41 , Issue.1-2 , pp. 3-15
    • Comfort, W.W.1    van Mill, J.2
  • 8
    • 0345918232 scopus 로고    scopus 로고
    • Generators of topological groups
    • Kzuhiro Kawamura, ed., RIMS Kokyuroku (Proceedings) vol.1074 1999 Symposium on General and Geometric Topology, Kyoto March 4-6
    • D. Dikranjan, Generators of topological groups, Kzuhiro Kawamura, ed., RIMS Kokyuroku (Proceedings), vol. 1074 (1999), Symposium on General and Geometric Topology, Kyoto, March 4-6, 1998, pp. 102-125.
    • (1998) , pp. 102-125
    • Dikranjan, D.1
  • 12
    • 34247244776 scopus 로고    scopus 로고
    • Weight of closed subsets algebraically generating a dense subgroup of a compact group
    • D. Dikranjan and D. Shakhmatov, Weight of closed subsets algebraically generating a dense subgroup of a compact group, Math. Nachr. 280 (5-6) (2007) 505-522.
    • (2007) Math. Nachr. , vol.280 , Issue.5-6 , pp. 505-522
    • Dikranjan, D.1    Shakhmatov, D.2
  • 13
    • 77955303877 scopus 로고    scopus 로고
    • The Markov-Zariski topology of an abelian group
    • D. Dikranjan and D. Shakhmatov, The Markov-Zariski topology of an abelian group, J. Algebra 324 (6) (2010) 1125-1158.
    • (2010) J. Algebra , vol.324 , Issue.6 , pp. 1125-1158
    • Dikranjan, D.1    Shakhmatov, D.2
  • 14
    • 77952041753 scopus 로고    scopus 로고
    • Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density
    • D. Dikranjan and D. Shakhmatov, Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density, Proc. Amer. Math. Soc. 138 (2010) 2979-2990.
    • (2010) Proc. Amer. Math. Soc. , vol.138 , pp. 2979-2990
    • Dikranjan, D.1    Shakhmatov, D.2
  • 15
    • 79952037927 scopus 로고    scopus 로고
    • A Kronecker-Weyl theorem for subsets of abelian groups
    • D. Dikranjan and D. Shakhmatov, A Kronecker-Weyl theorem for subsets of abelian groups, Adv. Math. 226 (2011) 4776-4795.
    • (2011) Adv. Math. , vol.226 , pp. 4776-4795
    • Dikranjan, D.1    Shakhmatov, D.2
  • 16
    • 84857352367 scopus 로고    scopus 로고
    • Suitable sets in the arc component of a compact connected group
    • D. Dikranjan and D. Shakhmatov, Suitable sets in the arc component of a compact connected group, Math. Nachr. 285 (4) (2012) 476-485.
    • (2012) Math. Nachr. , vol.285 , Issue.4 , pp. 476-485
    • Dikranjan, D.1    Shakhmatov, D.2
  • 17
    • 0006134507 scopus 로고    scopus 로고
    • Some topological groups with and some without suitable sets
    • D. Dikranjan, M. Tkačenko and V. Tkachuk, Some topological groups with and some without suitable sets, Topology Appl. 98 (1999) 131-148.
    • (1999) Topology Appl , vol.98 , pp. 131-148
    • Dikranjan, D.1    Tkačenko, M.2    Tkachuk, V.3
  • 18
  • 19
    • 0034392423 scopus 로고    scopus 로고
    • Suitable sets in some topological groups
    • D. Dikranjan and J. Trigos, Suitable sets in some topological groups, J. Group Theory 3 (2000) 293-321.
    • (2000) J. Group Theory , vol.3 , pp. 293-321
    • Dikranjan, D.1    Trigos, J.2
  • 22
    • 0004020473 scopus 로고    scopus 로고
    • The Structure of Compact Groups, de Gruyter studies in mathematics vol.25
    • de Gruyter, Berlin-New York
    • K. H. Hofmann and S. A. Morris, The Structure of Compact Groups, de Gruyter studies in mathematics vol. 25, de Gruyter, Berlin-New York 1998.
    • (1998)
    • Hofmann, K.H.1    Morris, S.A.2
  • 23
    • 15844393760 scopus 로고
    • Large families of dense pseudocompact subgroups of compact groups
    • G. Itzkowitz and D. Shakhmatov, Large families of dense pseudocompact subgroups of compact groups, Fund. Math. 147 (3) (1995) 197-212.
    • (1995) Fund. Math. , vol.147 , Issue.3 , pp. 197-212
    • Itzkowitz, G.1    Shakhmatov, D.2
  • 24
    • 0347809579 scopus 로고    scopus 로고
    • On thin generating sets in topological groups, Abelian Groups, Module Theory and Topology
    • D. Dikranjan and L. Salce, eds., Lecture Notes in Pure and Appl. Mathematics, Vol. 201, Marcel Dekker Inc., New York-Basel-Hong Kong
    • O. Okunev and M. G. Tkačenko, On thin generating sets in topological groups, in: D. Dikranjan and L. Salce, eds., Abelian Groups, Module Theory and Topology: Proceedings in Honour of Adalberto Orsatti's 60-th birthday, Lecture Notes in Pure and Appl. Mathematics, Vol. 201, Marcel Dekker Inc., New York-Basel-Hong Kong, 1998, 327-342.
    • (1998) Proceedings in Honour of Adalberto Orsatti's 60-th birthday , pp. 327-342
    • Okunev, O.1    Tkačenko, M.G.2
  • 25
    • 4944247275 scopus 로고
    • Dense subgroups of locally compact groups
    • M. Rajagopalan and M. Subrahmanian, Dense subgroups of locally compact groups, Colloq. Math. 35 (2) (1976) 289-292.
    • (1976) Colloq. Math. , vol.35 , Issue.2 , pp. 289-292
    • Rajagopalan, M.1    Subrahmanian, M.2
  • 26
    • 61549102800 scopus 로고    scopus 로고
    • Building suitable sets for locally compact groups by means of continuous selections
    • D. Shakhmatov, Building suitable sets for locally compact groups by means of continuous selections, Topology Appl. 156 (7) (2009) 1216-1223.
    • (2009) Topology Appl , vol.156 , Issue.7 , pp. 1216-1223
    • Shakhmatov, D.1
  • 27
    • 0006076064 scopus 로고    scopus 로고
    • Generating dense subgroups of topological groups
    • M. Tkachenko, Generating dense subgroups of topological groups, Topology Proc. 22 (1997) 533-582.
    • (1997) Topology Proc , vol.22 , pp. 533-582
    • Tkachenko, M.1
  • 28
    • 0345918224 scopus 로고    scopus 로고
    • Suitable sets in products of topological groups and in groups equipped with the Bohr topology
    • D. Dikranjan and L. Salce, eds., Abelian Groups, Module Theory and Topology: Proceed ings in Honour of Adalberto Orsatti's 60-th birthday, Lecture Notes in Pure and Appl. Mathematics, Vol. 201, Marcel Dekker Inc., New York-Basel-Hong Kong
    • A. Tomita and F. J. Trigos-Arrieta, Suitable sets in products of topological groups and in groups equipped with the Bohr topology, in: D. Dikranjan and L. Salce, eds., Abelian Groups, Module Theory and Topology: Proceed ings in Honour of Adalberto Orsatti's 60-th birthday, Lecture Notes in Pure and Appl. Mathematics, Vol. 201, Marcel Dekker Inc., New York-Basel-Hong Kong, 1998, 389-402.
    • (1998) , pp. 389-402
    • Tomita, A.1    Trigos-Arrieta, F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.