Covering certain wreath products with proper subgroups
نویسندگان
چکیده
منابع مشابه
Covering the symmetric groups with proper subgroups
Let G be a group that is a set-theoretic union of finitely many proper subgroups. Cohn defined σ(G) to be the least integer m such that G is the union of m proper subgroups. Tomkinson showed that σ(G) can never be 7, and that it is always of the form q +1 (q a prime power) for solvable groups G. In this paper we give exact or asymptotic formulas for σ(Sn). In particular, we show that σ(Sn) ≤ 2n...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2011
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt.2010.035