The minimal number of generators of a finite semigroup-Reference-Cited by-同舟云学术

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The minimal number of generators of a finite semigroup

Published:2013-08-23 Issue:1 Volume:89 Page:135-154
ISSN:0037-1912
Container-title:Semigroup Forum
language:en
Short-container-title:Semigroup Forum

Author:

Gray Robert D.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00233-013-9521-8.pdf

Reference41 articles.

1. Araújo, J., Schneider, C.: The rank of the endomorphism monoid of a uniform partition. Semigroup Forum 78(3), 498–510 (2009). doi: 10.1007/s00233-008-9122-0

2. Brittenham, M., Margolis, S.W., Meakin, J.: Subgroups of the free idempotent generated semigroups need not be free. J. Algebra 321(10), 3026–3042 (2009). doi: 10.1016/j.jalgebra.2008.12.017

3. Cameron, P.J.: Dixon’s theorem and random synchronization. Discrete Math. 313(11), 1233–1236 (2013). doi: 10.1016/j.disc.2012.06.002

4. Cameron, P.J., Solomon, R., Turull, A.: Chains of subgroups in symmetric groups. J. Algebra 127(2), 340–352 (1989)

5. Dixon, J.D.: The probability of generating the symmetric group. Math. Z. 110, 199–205 (1969)

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