A group G is called a Cpp-group for a prime number p, if G has elements of order p and the centralizer of every non-trivial p-element of G is a p-group. In this paper we prove that the only infinite locally finite simple groups that are Cpp-groups are isomorphic either to PSL(2, K) or, if p = 2, to Sz(K), with K a suitable algebraic field over GF(p). Using this fact, we also give some structure theorems for infinite locally finite Cpp-groups
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
A group G is CF (core-finite) if H/H_G is finite for all subgroups H of G. Here we introduce some sp...
Let $G $ be a finite group and $p $ a prime dividing the order of $G $. There are several conjecture...
A group G is called a Cpp-group for a prime number p, if G has elements of order p and the centraliz...
The aim of this article is to prove the following theorem. Let G be any infinite simple locally fini...
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank ...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity ...
AbstractWe classify all finite simple groups in which the centralizer of every element of order 3, θ...
We construct a proper class of simple locally finite groups. Namely for each infinite cardinal , we ...
The present article deals with locally finite groups G having an involution phi such that C-G(phi) i...
AbstractThe main result of the paper is the following theorem. Let G be a locally finite group conta...
In Ersoy et al. [J. Algebra481 (2017), 1–11], we have proved that if G is a locally finite group wit...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
A group G is CF (core-finite) if H/H_G is finite for all subgroups H of G. Here we introduce some sp...
Let $G $ be a finite group and $p $ a prime dividing the order of $G $. There are several conjecture...
A group G is called a Cpp-group for a prime number p, if G has elements of order p and the centraliz...
The aim of this article is to prove the following theorem. Let G be any infinite simple locally fini...
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank ...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity ...
AbstractWe classify all finite simple groups in which the centralizer of every element of order 3, θ...
We construct a proper class of simple locally finite groups. Namely for each infinite cardinal , we ...
The present article deals with locally finite groups G having an involution phi such that C-G(phi) i...
AbstractThe main result of the paper is the following theorem. Let G be a locally finite group conta...
In Ersoy et al. [J. Algebra481 (2017), 1–11], we have proved that if G is a locally finite group wit...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
A group G is CF (core-finite) if H/H_G is finite for all subgroups H of G. Here we introduce some sp...
Let $G $ be a finite group and $p $ a prime dividing the order of $G $. There are several conjecture...
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