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Volumn 55, Issue 2-3, 2006, Pages 137-173

Closed subgroups of the infinite symmetric group

Author keywords

Cardinalities of orbits of stabilizers of finite sets; Equivalence relation on subgroups; Full permutation group on a countably infinite set; Subgroups closed in the function topology

Indexed keywords


EID: 33846817071     PISSN: 00025240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00012-006-1959-z     Document Type: Article
Times cited : (13)

References (14)
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    • George M. Bergman, Generating infinite symmetric groups, to appear, J. London Math. Soc.. Preprint version, 8 pp.: http://math.berkeley.edu/ ~ gbergman/papers/Sym Omega: 1.{tex,dvi} , arXiv:math.GR/0401304 .
    • George M. Bergman, Generating infinite symmetric groups, to appear, J. London Math. Soc.. Preprint version, 8 pp.: http://math.berkeley.edu/ ~ gbergman/papers/Sym Omega: 1.{tex,dvi} , arXiv:math.GR/0401304 .
  • 2
    • 33846845381 scopus 로고    scopus 로고
    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller and Peter M. Neumann, Notes on infinite permutation groups, Texts and Readings in Mathematics, 12, Hindustan Book Agency, New Delhi, and Lecture Notes in Mathematics, 1698, Springer-Verlag, 1997. MR 99e:20003.
    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller and Peter M. Neumann, Notes on infinite permutation groups, Texts and Readings in Mathematics, 12, Hindustan Book Agency, New Delhi, and Lecture Notes in Mathematics, 1698, Springer-Verlag, 1997. MR 99e:20003.
  • 3
    • 0032384992 scopus 로고    scopus 로고
    • Supplements of bounded permutation groups
    • MR 99b:20007
    • Stephen Bigelow, Supplements of bounded permutation groups, J. Symbolic Logic 63 (1998) 89-102. MR 99b:20007.
    • (1998) J. Symbolic Logic , vol.63 , pp. 89-102
    • Bigelow, S.1
  • 4
    • 0141771926 scopus 로고
    • Generating countable sets of permutations
    • MR 96a:20005
    • Fred Galvin, Generating countable sets of permutations, J. London Math. Soc. (2) 51 (1995) 230-242. MR 96a:20005.
    • (1995) J. London Math. Soc. (2) , vol.51 , pp. 230-242
    • Galvin, F.1
  • 5
    • 84960610864 scopus 로고    scopus 로고
    • H. D. Macpherson and Peter M. Neumann, Subgroups of infinite symmetric groups, J. London Math. Soc. (2) 42 (1990) 64-84. MR 92d:20006. (Note: It is shown in [3] that Theorem 1.2 of this paper requires additional set-theoretic hypotheses for some κ.)
    • H. D. Macpherson and Peter M. Neumann, Subgroups of infinite symmetric groups, J. London Math. Soc. (2) 42 (1990) 64-84. MR 92d:20006. (Note: It is shown in [3] that Theorem 1.2 of this paper requires additional set-theoretic hypotheses for some κ.)
  • 6
    • 33846806284 scopus 로고    scopus 로고
    • Zachary Mesyan, Generating subrings of endomorphism rings using small numbers of elements (title tentative), preprint, April 2005, 13 pp. (Author's e-mail address: zak@math.berkeley.edu .)
    • Zachary Mesyan, Generating subrings of endomorphism rings using small numbers of elements (title tentative), preprint, April 2005, 13 pp. (Author's e-mail address: zak@math.berkeley.edu .)
  • 7
    • 84968516156 scopus 로고    scopus 로고
    • Oystein Ore, Some remarks on commutators, Proc. Amer. Math. Soc. 2 (1951) 307-314. MR 12, 671e.
    • Oystein Ore, Some remarks on commutators, Proc. Amer. Math. Soc. 2 (1951) 307-314. MR 12, 671e.
  • 8
    • 0031485268 scopus 로고    scopus 로고
    • The cofinality spectrum of the infinite symmetric group
    • MR 98k:03106
    • Saharon Shelah and Simon Thomas, The cofinality spectrum of the infinite symmetric group, J. Symbolic Logic 62 (1997) 902-916. MR 98k:03106.
    • (1997) J. Symbolic Logic , vol.62 , pp. 902-916
    • Shelah, S.1    Thomas, S.2
  • 10
    • 34250115881 scopus 로고    scopus 로고
    • (English translation: Algebra and Logic 23 (1984), 385-387.) MR 87d:20058.
    • (English translation: Algebra and Logic 23 (1984), 385-387.) MR 87d:20058.
  • 12
    • 34250111073 scopus 로고    scopus 로고
    • (English translation: Algebra and Logic 24 (1985) 265-268.) MR 87e:20059.
    • (English translation: Algebra and Logic 24 (1985) 265-268.) MR 87e:20059.
  • 14
    • 33846810370 scopus 로고    scopus 로고
    • Simon Thomas, Cofinalities of infinite permutation groups, pp.101-120 in Advances in algebra and model theory (Essen, 1994; Dresden, 1995) Algebra Logic Appl., v.9. MR 2000a:20005.
    • Simon Thomas, Cofinalities of infinite permutation groups, pp.101-120 in Advances in algebra and model theory (Essen, 1994; Dresden, 1995) Algebra Logic Appl., v.9. MR 2000a:20005.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.