Universal families of permutation groups
William M. Kantor
University of Oregon Eugene OR 97403 USA
DOI: 10.1007/s10801-007-0105-0
Abstract
For several families \Cal F of finite transitive permutation groups it is shown that each finite group is isomorphic to a 2-point stabilizer of infinitely many members of \Cal F.
Pages: 351–363
Keywords: keywords permutation groups; 2-point stabilizer
Full Text: PDF
References
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2. Cameron, P.J., Kantor, W.M.: Random permutations: Some group-theoretic aspects. Comb. Probab. Comput. 2, 257-262 (1993)
3. Guralnick, R.M., Kantor, W.M.: Probabilistic generation of finite simple groups. J. Algebra 234, 743- 792 (2000)
4. James, J.P.: Two point stabilisers of partition actions of linear groups. J. Algebra 297, 453-469 (2006)
5. James, J.P.: Arbitrary groups as two-point stabilisers of symmetric groups acting on partitions. J. Al- gebr. Comb. 24, 355-360 (2006)
6. Kantor, W.M.: Automorphisms and isomorphisms of symmetric and affine designs. J. Algebr. Comb.
2. Cameron, P.J., Kantor, W.M.: Random permutations: Some group-theoretic aspects. Comb. Probab. Comput. 2, 257-262 (1993)
3. Guralnick, R.M., Kantor, W.M.: Probabilistic generation of finite simple groups. J. Algebra 234, 743- 792 (2000)
4. James, J.P.: Two point stabilisers of partition actions of linear groups. J. Algebra 297, 453-469 (2006)
5. James, J.P.: Arbitrary groups as two-point stabilisers of symmetric groups acting on partitions. J. Al- gebr. Comb. 24, 355-360 (2006)
6. Kantor, W.M.: Automorphisms and isomorphisms of symmetric and affine designs. J. Algebr. Comb.