Generation of alternating groups by pairs of conjugates

DOI10.1007/BF01848100zbMath0617.20045OpenAlexW1998243396WikidataQ105675723 ScholiaQ105675723MaRDI QIDQ1821880

J. L. Brenner, Mihály Szalay, Alan G. Williamson, Leroy B. Beasley

Publication date: 1987

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848100

zbMATH Keywords

partitionsconjugacy classesalternating grouppair of generators

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Elementary theory of partitions (11P81) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35) Probabilistic methods in group theory (20P05)

Cites Work

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• On some problems of a statistical group theory. V
• On primitive permutation groups containing a cycle
• The distribution of the number of summands in the partitions of a positive integer
• The Probability that some Power of a Permutation has Small Degree
• MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
• The Probability of Generating the Symmetric Group
• On some problems of the statistical theory of partitions with application to characters of the symmetric group. III
• On some problems of a statistical group-theory. I
• The probability of generating the symmetric group

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