𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Commutator conditions and splitting automorphisms for stable groups

✍ Scribed by Frank O. Wagner

Publisher
Springer
Year
1993
Tongue
English
Weight
363 KB
Volume
32
Category
Article
ISSN
0933-5846

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Right 2-Engel Elements and Commuting Aut
Right 2-Engel Elements and Commuting Automorphisms of Groups
✍ Marian Deaconescu; Gary L Walls πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 63 KB

It is shown that there is a close connection between the right 2-Engel elements of a group and the set of the so-called commuting automorphisms of the group. As a consequence, the following general theorem is proved: If G is a group and if Ε½ . R G denotes the subgroup of right 2-Engel elements, then

Automorphism groups with cyclic commutat
Automorphism groups with cyclic commutator subgroup and Hamilton cycles
✍ Edward Dobson; Heather Gavlas; Joy Morris; Dave Witte πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 670 KB

It has been shown that there is a Hamilton cycle in every connected Cayley graph on each group G whose commutator subgroup is cyclic of prime-power order. This paper considers connected, vertex-transitive graphs X of order at least 3 where the automorphism group of X contains a transitive subgroup G

Almost unramified automorphic representa
Almost unramified automorphic representations for split groups over Fq(t)
✍ Amritanshu Prasad πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 100 KB

Let G be a split semisimple group over a finite field F q , F the field F q (t) of rational functions in t with coefficients in F q and A the adèles of F. We describe the irreducible automorphic representations of G(A) which have non-zero vectors invariant under Iwahori subgroups at two places and u