𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Relative π-Blocks of π-Separable Groups, II

✍ Scribed by A Laradji

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
109 KB
Volume
237
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

This correspondence allows us to prove results about relative -blocks by translating known results about -blocks.

We continue to assume that N is a normal subgroup of G, but now we Ž . replace by any character in B N . In this paper, we extend the concept Ј Ž of relative -blocks to this general situation. The main result Theorem

📜 SIMILAR VOLUMES

On π-Separable Groups
On π-Separable Groups
✍ Yakov Berkovich 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 173 KB

We generalize Lemmas 7.3᎐7.7 from the Odd Order paper. Those lemmas we extend from p-solvable groups to -separable groups, where is an arbitrary set Ä 4 of primes. Note that even in the case s p some of our results present proper Ž generalizations. In some proofs we use the solvability of groups of

Hall Subgroups and π-Separable Groups
Hall Subgroups and π-Separable Groups
✍ Zhaowei Du 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 173 KB

Let G be a finite group and a set of primes. In this paper, some new criteria for -separable groups and -solvable groups in terms of Hall subgroups are proved. The main results are the following: Theorem. G is a -separable group if and only if Ž .