Results 11 to 20 of about 364,912 (284)
Pro-Lie Groups: A Survey with Open Problems
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
doaj +4 more sources
Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
doaj +1 more source
Infinite locally finite simple groups with many complemented subgroups [PDF]
We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
doaj +1 more source
On infinite groups whose finite quotients have restricted prime divisors [PDF]
The effect of restricting the set of primes dividing the orders of the finite quotients of a group is investigated. Particular attention is paid to abelian, soluble, locally soluble and locally finite groups.
Derek J. S. Robinson
doaj +1 more source
Groups in which all Subgroups are Subnormal-by-Finite [PDF]
We prove that a locally finite group G in which every subgroup is a finite extension of a subnormal subgroup of G is nilpotent-by-\v Cernikov.
Carlo Casolo
doaj +1 more source
On Periodic Groups Saturated with Finite Frobenius Groups
A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
doaj +1 more source
$p$-local finite group cohomology [PDF]
We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.
Levi, Ran, Ragnarsson, Kári
openaire +3 more sources
Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
doaj +1 more source
Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups
In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
doaj +1 more source
LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group.
Vladimir B. Repnitskiǐ
doaj +1 more source

