Add to ORKGWe give an explicit construction for the isomophism A8 GL4 (2). The involutions of cycle type 23 in the symmetric group S6, together with the null-set, can be given the structure of an elementary abelian group of order 16, in such a way that S6 preserves the group operation. This gives an embedding ( of S6 into the general linear group GL4(2). Regarding S6 as a subgroup of the alternating group A8, we show that ( extends to A8. Coincidence of group orders implues that this extension is an isomorphism
ABSTRACT. All symmetric(69,17,4)designsadmitting the cyclic group of order 6 as an automorphismgroup...
Abstract. In this note, we construct a 2-basic set of the alternating group An. To do this, we const...
Many groups are best described as the group of automorphisms of some natural object. I'm interested ...
We give an explicit construction for the isomophism A8 GL4 (2). The involutions of cycle type 23 in ...
The alternating group A6 plays a very special role in the theory of-nite groups [28]. Indeed, A6 is ...
Let G be a finite group containing a subgroup H isomorphic to an alternating group, An, such that G ...
In this paper, we determine the simple groups $G=AB$, where $B$ is isomorphic to $L_{3}(4)$ and ...
Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to an a...
This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite S...
2018 Summer.Includes bibliographical references.We prove that the general linear group GLd(pe) has b...
We develop a new approach for the computation of the Mullineux involution for the symmetric group an...
We give the first computer free proof of the uniqueness of groups of type J₄. In addition we supply ...
With a view to further refining the use of the exceptional group G2 in atomic and nuclear spectrosco...
Given a group automorphism ø:Γ→Γ, one has an action of Γ on itself by ...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
ABSTRACT. All symmetric(69,17,4)designsadmitting the cyclic group of order 6 as an automorphismgroup...
Abstract. In this note, we construct a 2-basic set of the alternating group An. To do this, we const...
Many groups are best described as the group of automorphisms of some natural object. I'm interested ...
We give an explicit construction for the isomophism A8 GL4 (2). The involutions of cycle type 23 in ...
The alternating group A6 plays a very special role in the theory of-nite groups [28]. Indeed, A6 is ...
Let G be a finite group containing a subgroup H isomorphic to an alternating group, An, such that G ...
In this paper, we determine the simple groups $G=AB$, where $B$ is isomorphic to $L_{3}(4)$ and ...
Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to an a...
This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite S...
2018 Summer.Includes bibliographical references.We prove that the general linear group GLd(pe) has b...
We develop a new approach for the computation of the Mullineux involution for the symmetric group an...
We give the first computer free proof of the uniqueness of groups of type J₄. In addition we supply ...
With a view to further refining the use of the exceptional group G2 in atomic and nuclear spectrosco...
Given a group automorphism ø:Γ→Γ, one has an action of Γ on itself by ...
The spectrum of a periodic group G is the set ω(G) of its element orders. The objective of the prese...
ABSTRACT. All symmetric(69,17,4)designsadmitting the cyclic group of order 6 as an automorphismgroup...
Abstract. In this note, we construct a 2-basic set of the alternating group An. To do this, we const...
Many groups are best described as the group of automorphisms of some natural object. I'm interested ...