𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Free Subgroups and Free Subsemigroups of Division Rings

✍ Scribed by Katsuo Chiba

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
108 KB
Volume
184
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Free Group Algebras in Certain Division
Free Group Algebras in Certain Division Rings
✍ L.M.V. Figueiredo; J.Z. GonΓ§alves; M. Shirvani πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 193 KB

Let D be a division ring with centre k. We show that D contains the k-group algebra of the free group on two generators when D is the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fraction

Free Subgroups of Free Complete Products
Free Subgroups of Free Complete Products
✍ Greg Conner; Katsuya Eda πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 136 KB

free subgroups 697 if and only if j ∈ I G j β‰₯ G i is infinite and let Ξ» be the cardinality of i∈I 0 G i , which is equal to that of i∈I 0 G i . Corollary 1.2. Let I be an infinite index set and G i 's be copies of a group G. Then the subgroups of Bd and Sc of i∈I G i are isomorphic to \* i∈I G i \*

Free Subgroups in Maximal Subgroups of G
Free Subgroups in Maximal Subgroups of GL1(D)
✍ M Mahdavi-Hezavehi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 94 KB

Let D be a division algebra of finite dimension over its center F. Given a Ε½ . noncommutative maximal subgroup M of D\* [ GL D , it is proved that either 1 M contains a noncyclic free subgroup or there exists a maximal subfield K of D Ε½ . which is Galois over F such that K \* is normal in M and MrK

Stallings Foldings and Subgroups of Free
Stallings Foldings and Subgroups of Free Groups
✍ Ilya Kapovich; Alexei Myasnikov πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 409 KB

We re-cast in a more combinatorial and computational form the topological approach of J. Stallings to the study of subgroups of free groups.  2002 Elsevier Science (USA) Convention 2.6 (Reduced Words and Reduced Paths). Recall that a word w in the alphabet = X βˆͺ X -1 is said to be freely reduced if