𝔖 Bobbio Scriptorium
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On the length of subgroup chains in the symmetric group

✍ Scribed by Babai, László


Book ID
127110878
Publisher
Taylor and Francis Group
Year
1986
Tongue
English
Weight
218 KB
Volume
14
Category
Article
ISSN
0092-7872

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On the Möbius Number of the Subgroup Lat
✍ John Shareshian 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 460 KB

In this paper, a formula is given for the Mo bius number +(1, S n ) of the subgroup lattice of the symmetric group S n . This formula involves the Mo bius numbers of certain transitive subgroups of S n . When n has at most two (not necessarily distinct) prime factors or n is a power of two, this for