๐”– Bobbio Scriptorium
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ZF and Locally Finite Groups

โœ Scribed by J. M. Plotkin


Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
306 KB
Volume
27
Category
Article
ISSN
0044-3050

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๐Ÿ“œ SIMILAR VOLUMES


Locally (Soluble-by-Finite) Groups of Fi
โœ Martyn R. Dixon; Martin J. Evans; Howard Smith ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

But P l B s rad P and so L ( Prrad P. It remains to show that P F L . 1 2 If Q is a maximal normal subgroup of P then, since P is perfect, PrQ is isomorphic to a simple direct factor of L and hence has order greater 1 than s. With the notation as in Lemma 2.2, we have PE rE ( PrP l E , 2 2 2 which t

On Centralizers in Locally Finite Groups
โœ Pavel Shumyatsky ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

The main result of the paper is the following theorem. Let G be a locally finite group containing a finite p-subgroup A such that C G A is finite and a non-cyclic subgroup B of order p 2 such that C G b has finite exponent for all b โˆˆ B # . Then G is almost locally solvable and has finite exponent.

Locally Finite Simple Groups of 1-Type
โœ Stefaan Delcroix; Ulrich Meierfrankenfeld ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternat

Locally Finite Groups with All Subgroups
โœ E.I Khukhro; H Smith ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

A group is said to have finite special rank F s if all of its finitely generated subgroups can be generated by s elements. Let G be a locally finite group and suppose that HrH has finite rank for all subgroups H of G, where H denotes the normal core of H in G. We prove that then G has an abelian no

On Finite and Locally Finite Subgroups o
โœ S.V Ivanov; A.Yu Ol'shanskii ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 486 KB

The following basic results on infinite locally finite subgroups of a free m-gener-ลฝ . ## 48 ator Burnside group B m, n of even exponent n, where m ) 1 and n G 2 , n is divisible by 2 9 , are obtained: A clear complete description of all infinite groups that ลฝ . ลฝ . are embeddable in B m, n as ma

Primitive Localizations of Group Algebra
โœ P. Wauters ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 90 KB

Let G be a polycyclic-by-finite group such that โŒฌ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p