𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Twisted Actions of Symmetric Groups

✍ Scribed by Mowaffaq Hajja; Ming-chang Kang


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
217 KB
Volume
188
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


S n show that the fixed field K x , . . . , x is rational over K. Similar results for 1 n actions of S on the symmetric powers and exterior powers of V [ [ n K ΠΈ x are n i is1 valid.


πŸ“œ SIMILAR VOLUMES


Linearly Equivalent Actions of Solvable
✍ B. de Smit; H.W. Lenstra Jr. πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 134 KB

We determine the positive integers n for which there exist a solvable group G and two non-conjugate subgroups of index n in G that induce the same permutation character.

Maximal Subgroups of Symmetric Groups
✍ Martin W. Liebeck; Aner Shalev πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 348 KB

We show that S n has at most n 6Γ‚11+o(1) conjugacy classes of primitive maximal subgroups. This improves an n c log 3 n bound given by Babai. We conclude that the number of conjugacy classes of maximal subgroups of S n is of the form ( 12 +o(1))n. It also follows that, for large n, S n has less than

Actions of Picard Groups on Graded Rings
✍ Jeremy Haefner; Angel del RΔ±́o πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 230 KB

fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.

Noncommutative Cyclic Characters of Symm
✍ Bernard Leclerc; Thomas Scharf; Jean-Yves Thibon πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 485 KB

We define noncommutative analogues of the characters of the symmetric group which are induced by transitive cyclic subgroups (cyclic characters). We investigate their properties by means of the formalism of noncommutative symmetric functions. The main result is a multiplication formula whose commuta