Bias of group generators in the solvable case-Reference-Cited by-同舟云学术

Bias of group generators in the solvable case

Published:2015-02-17 Issue:2 Volume:207 Page:739-761
ISSN:0021-2172
Container-title:Israel Journal of Mathematics
language:en
Short-container-title:Isr. J. Math.

Author:

Crestani Eleonora,Lucchini Andrea

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11856-015-1159-7.pdf

Reference13 articles.

1. M. Aschbacher and R. M. Guralnick, Some applications of the first cohomology group, Journal of Algebra 90 (1984), 446–460.

2. L. Babai and I. Pak, Strong bias of group generators: an obstacle to the “product replacement algorithm”, in Proceedings of the Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (San Francisco, CA, 2000), ACM, New York, 2000, pp. 627–635.

3. F. Celler, C. R. Leedham-Green, S. Murray, A. Niemeyer and E. A. O’Brien, Generating random elements of a finite group, Communications in Algebra 23 (1995), 4931–4948.

4. W. Gaschütz, Die Eulersche Funktion endlicher auflösbarer Gruppen, Illinois Journal of Mathematics 3 (1959), 469–476.

5. P. Hall, The Eulerian functions of a group, Quarterly Journal of Mathematics 7 (1936), 134–151.

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