Generating wreath products of symmetric and alternating groups
نویسندگان
چکیده
We show that the wreath product of two finite symmetric or alternating groups is 2-generated.
منابع مشابه
Generating Symmetric and Alternating Groups with Elements of Fixed Order
Many of the commonly-used generating sets for the symmetric group Σn and the alternating group An either consist of a number of generators that grows as n grows or else contain an element whose order grows as n grows. For instance, Σn is generated by the set of adjacent transpositions, and it is also generated by a single transposition along with an n-cycle. Similarly, An is generated by all 3-...
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ژورنال
عنوان ژورنال: New Zealand journal of mathematics
سال: 2021
ISSN: ['1171-6096', '1179-4984']
DOI: https://doi.org/10.53733/108