AbstractThe main result of the paper is the following theorem. Let G be a locally finite group containing a finite p-subgroup A such that CG(A) is finite and a non-cyclic subgroup B of order p2 such that CG(b) has finite exponent for all b∈B#. Then G is almost locally solvable and has finite exponent
The present article deals with locally finite groups G having an involution phi such that C-G(phi) i...
Abstract A non-nilpotent finite group whose proper subgroups are all nilpotent (or a finite group wi...
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i...
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank ...
The aim of this article is to prove the following theorem. Let G be any infinite simple locally fini...
We consider a finiteness condition on centralizers in a group G, namely that |C_G(x):⟨x⟩|<∞ for e...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is prov...
Locally finite groups having the property that every non-cyclic subgroup contains its centralizer ar...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
We study groups in which all infinite subgroups are centralizers. Such groups are periodic; we compl...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
Locally finiteness is proved for a group of exponent 36 containing an involution and no elements of ...
The present article deals with locally finite groups G having an involution phi such that C-G(phi) i...
Abstract A non-nilpotent finite group whose proper subgroups are all nilpotent (or a finite group wi...
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i...
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank ...
The aim of this article is to prove the following theorem. Let G be any infinite simple locally fini...
We consider a finiteness condition on centralizers in a group G, namely that |C_G(x):⟨x⟩|<∞ for e...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is prov...
Locally finite groups having the property that every non-cyclic subgroup contains its centralizer ar...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
We study groups in which all infinite subgroups are centralizers. Such groups are periodic; we compl...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
Locally finiteness is proved for a group of exponent 36 containing an involution and no elements of ...
The present article deals with locally finite groups G having an involution phi such that C-G(phi) i...
Abstract A non-nilpotent finite group whose proper subgroups are all nilpotent (or a finite group wi...
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i...
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