For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all having the same order. This answers a long-standing question from the Kourovka Notebook. ©2006 American Mathematical Society
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
AbstractRhemtulla proved that if a group is a residually finite p-group for infinitely many primes p...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
This is the first of three volumes on finite p-group theory. It presents the state of the art and in...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
In 1957 D.R. Hughes published the following problem in group theory. Let G be a group and p a prime....
AbstractA finite group (G, ·) is said to be sequenceable if its elements can be arranged in a sequen...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
A structure theorem is proved for finite groups with the property that, for some integer m with m 2...
AbstractIn 1957 D.R. Hughes published the following problem in group theory. Let G be a group and p ...
that every finitely generated group of bounded exponent is finite? The General Burnside Problem: Is ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
AbstractRhemtulla proved that if a group is a residually finite p-group for infinitely many primes p...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
It is proved that up to isomorphism there are only two finite groups with the same set of element or...
This is the first of three volumes on finite p-group theory. It presents the state of the art and in...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
In 1957 D.R. Hughes published the following problem in group theory. Let G be a group and p a prime....
AbstractA finite group (G, ·) is said to be sequenceable if its elements can be arranged in a sequen...
Search of arithmetical properties that determine a finite group uniquely. Among arithmetical propert...
A structure theorem is proved for finite groups with the property that, for some integer m with m 2...
AbstractIn 1957 D.R. Hughes published the following problem in group theory. Let G be a group and p ...
that every finitely generated group of bounded exponent is finite? The General Burnside Problem: Is ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...
AbstractRhemtulla proved that if a group is a residually finite p-group for infinitely many primes p...
In this paper, we shall deal with periodic groups, in which each element has a prime power order. A ...