AbstractWe determine the finite groups possessing a standard subgroup which is the covering group of an alternating group, and whose centralizer is of 2-rank at least 2. The result is one step in the original proof of the classification of the finite simple groups, and presumably also in improvements to that proof. The paper is a modification of the original preprint, which had remained unpublished since the seventies
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
We study groups having the property that every non-cyclic subgroup contains its centralizer. The str...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
AbstractLet .3 be the simple group discovered by J. H. Conway (5). Let C0 be the centralizer of an i...
This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (...
The classification of finite simple groups is a landmark result of modern mathematics. The multipart...
AbstractThis paper offers an exhaustive study of certain 2-signalizers in known non-sporadic finite ...
AbstractIn this article we give a self contained existence and uniqueness proof for that sporadic si...
We determine all finite subgroups of simple algebraic groups that have irre- ducible centralizers – ...
Let G be a finite group containing a subgroup H isomorphic to an alternating group, An, such that G ...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
AbstractLet H be a finite group having center Z(H) of even order. By the classical Brauer–Fowler the...
If R is a commutative ring, G is a nite group, and H is a subgroup of G, then the centralizer algeb...
In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which...
We classify the C55-groups, i.e., finite groups in which the centralizer of every 5-element is a 5-gr...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
We study groups having the property that every non-cyclic subgroup contains its centralizer. The str...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...
AbstractLet .3 be the simple group discovered by J. H. Conway (5). Let C0 be the centralizer of an i...
This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (...
The classification of finite simple groups is a landmark result of modern mathematics. The multipart...
AbstractThis paper offers an exhaustive study of certain 2-signalizers in known non-sporadic finite ...
AbstractIn this article we give a self contained existence and uniqueness proof for that sporadic si...
We determine all finite subgroups of simple algebraic groups that have irre- ducible centralizers – ...
Let G be a finite group containing a subgroup H isomorphic to an alternating group, An, such that G ...
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, sim...
AbstractLet H be a finite group having center Z(H) of even order. By the classical Brauer–Fowler the...
If R is a commutative ring, G is a nite group, and H is a subgroup of G, then the centralizer algeb...
In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which...
We classify the C55-groups, i.e., finite groups in which the centralizer of every 5-element is a 5-gr...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
We study groups having the property that every non-cyclic subgroup contains its centralizer. The str...
Let =(p(1), p(2),...) be a given infinite sequence of not necessarily distinct primes. In 1976, the ...