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Volumn 9, Issue 5, 2006, Pages 685-694

On the probability of satisfying a word in a group

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EID: 33748706188     PISSN: 14335883     EISSN: 14335883     Source Type: Journal    
DOI: 10.1515/JGT.2006.044     Document Type: Article
Times cited : (17)

References (11)
  • 2
    • 84959739949 scopus 로고
    • Groups with two more generators than relators
    • B. Baumslag and S. Pride. Groups with two more generators than relators. J. London Math. Soc. (2) 17 (1978), 425-426.
    • (1978) J. London Math. Soc. (2) , vol.17 , pp. 425-426
    • Baumslag, B.1    Pride, S.2
  • 3
    • 0037248840 scopus 로고    scopus 로고
    • Residual properties of free groups and probabilistic methods
    • J. D. Dixon, L. Pyber, Á. Seress and A. Shalev. Residual properties of free groups and probabilistic methods. J. Reine Angew. Math. 556 (2003), 159-172.
    • (2003) J. Reine Angew. Math. , vol.556 , pp. 159-172
    • Dixon, J.D.1    Pyber, L.2    Seress, Á.3    Shalev, A.4
  • 4
    • 0001162248 scopus 로고
    • Finite groups in which every two elements generate a soluble subgroup
    • P. Flavell. Finite groups in which every two elements generate a soluble subgroup. Invent. Math. 121 (1995), 279-285.
    • (1995) Invent. Math. , vol.121 , pp. 279-285
    • Flavell, P.1
  • 5
    • 77955478020 scopus 로고
    • The Eulerian functions of a group
    • P. Hall. The Eulerian functions of a group. Quart. J. Math. (Oxford Ser.) 7 (1936), 134-151.
    • (1936) Quart. J. Math. (Oxford Ser.) , vol.7 , pp. 134-151
    • Hall, P.1
  • 6
    • 0001941330 scopus 로고
    • The probability of generating a finite classical group
    • W. M. Kantor and A. Lubotzky. The probability of generating a finite classical group. Geom. Dedicata 36 (1990), 67-87.
    • (1990) Geom. Dedicata , vol.36 , pp. 67-87
    • Kantor, W.M.1    Lubotzky, A.2
  • 8
    • 0003357759 scopus 로고
    • A course in the theory of groups
    • Springer-Verlag
    • D. J. S. Robinson. A course in the theory of groups. Graduate Texts in Math. 80 (Springer-Verlag, 1982).
    • (1982) Graduate Texts in Math. , vol.80
    • Robinson, D.J.S.1
  • 9
    • 0039817959 scopus 로고
    • Quotients of the powers of the augmentation ideal in a group ring
    • Ann. of Math. Studies 84 (Princeton University Press)
    • J. R. Stallings. Quotients of the powers of the augmentation ideal in a group ring. In Knots, groups, and 3-manifolds (Papers dedicated to the memory of R. H. Fox), Ann. of Math. Studies 84 (Princeton University Press, 1975), pp. 101-118.
    • (1975) Knots, Groups, and 3-manifolds Papers Dedicated to the Memory of R. H. Fox , pp. 101-118
    • Stallings, J.R.1
  • 10
    • 84968495726 scopus 로고
    • Nonsolvable finite groups all of whose local subgroups are solvable
    • J. G. Thompson. Nonsolvable finite groups all of whose local subgroups are solvable. Bull. Amer. Math. Soc. 74 (1968), 383-437.
    • (1968) Bull. Amer. Math. Soc. , vol.74 , pp. 383-437
    • Thompson, J.G.1
  • 11
    • 84974281088 scopus 로고
    • Growth sequences of finite groups III
    • J. Wiegold. Growth sequences of finite groups III. J. Austral. Math. Soc. Ser. A 25 (1978), 142-144.
    • (1978) J. Austral. Math. Soc. Ser. A , vol.25 , pp. 142-144
    • Wiegold, J.1


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