๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Abelian Subgroups ofp-Groups

โœ Scribed by Yakov Berkovich


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
254 KB
Volume
199
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis


We generalize and present simplified proofs almost all elementary lemmas from Section 8 of the Odd Order Paper. In many places we use Hall's enumeration principle and other simple combinatorial arguments. A number of related results are proved as well. Some open questions are posed. แฎŠ 1998 Academic Press * The author was supported in part by the Ministry of Absorption of Israel. 262


๐Ÿ“œ SIMILAR VOLUMES


Subgroups of Inertia Groups Arising from
โœ A Silverberg; Yu.G Zarhin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

Given an abelian variety over a field with a discrete valuation, Grothendieck defined a certain open normal subgroup of the absolute inertia group. This subgroup encodes information on the extensions over which the abelian variety acquires semistable reduction. We study this subgroup, and use it to

On the Principal Blocks of Finite Groups
โœ Masato Sawabe; Atumi Watanabe ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i

Subgroup Separability of HNN-Extensions
โœ V Metaftsis; E Raptis ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

In the present paper we give a complete characterisation of subgroup separability of HNN-extensions with finitely generated abelian base group. We are also able to characterise subgroup separability for some families of free-by-cyclic groups and thus answer partially a question of Scott (1987, "Comb