For a class of strictly increasing real valued functions f (n) we obtain an upper bound for the number of solutions of the equation f (y i ), 1 x 1 , . . . , y d N.
Number of solutions of the equation Xa=e in the symmetric group
β Scribed by L. M. Volynets
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1986
- Tongue
- English
- Weight
- 200 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Definition 1.1. A finitely generated group A is said to admit C(p s ) if the following conditions hold for any positive integer q such that 551
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
## Communicated by Y. Xu An nΓn real matrix P is said to be a symmetric orthogonal matrix if P = P -1 = P T . An nΓn real matrix Y is called a generalized centro-symmetric with respect to P, if Y = PYP. It is obvious that every matrix is also a generalized centrosymmetric matrix with respect to I.