𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Products of powers in groups

✍ Scribed by Roger Lyndon

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
168 KB
Volume
26
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Powers of Cycle-Classes in Symmetric Gro
Powers of Cycle-Classes in Symmetric Groups
✍ Edward Bertram; Marcel Herzog πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 136 KB

Theorem 1 [Be, Corollary 2.1]. Each permutation in the alternating group A n , n 2, is a product of two l-cycles in S n if and only if either w 3n 4 x l n or n=4 and l=2. Note. Theorem 1 implies that when n=4 every even permutation is a product of two l-cycles if and only if 2 l 4. The aim of the

Semisimplicity of Exterior Powers of Sem
Semisimplicity of Exterior Powers of Semisimple Representations of Groups
✍ George J. McNinch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 152 KB

This paper answers a question posed by Jean-Pierre Serre; namely, a proof is given that if V is a semisimple finite dimensional representation of a group G over Ε½ . m a field K of characteristic p ) 0, and m dim V y mp, then H V is again a K semisimple representation of G.

Tree Products of Conjugacy Separable Gro
Tree Products of Conjugacy Separable Groups
✍ P.C. Wong; C.K. Tang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 345 KB

A group G is said to be conjugacy separable if for each pair of elements x y ∈ G such that x and y are not conjugate in G, there exists a finite homomorphic image Ḡ of G such that the images of x y are not conjugate in Ḡ. In this note, we show that the tree products of finitely many conjugacy separa

Mutually Permutable Products of Finite G
Mutually Permutable Products of Finite Groups
✍ A. Ballester-Bolinches; M.D. PΓ©rez-Ramos; M.C. Pedraza-Aguilera πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 76 KB