Results 31 to 40 of about 104,157 (229)

Automorphism groups of superextensions of groups [PDF]

Matematychni Studii, 2017
9 ...
Volodymyr Gavrylkiv, Taras Banakh
openaire   +2 more sources

CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP

پژوهش‌های ریاضی, 2021
In this paper we classify finite p-groups (p>2 )  with metacyclic automorphism  group.  Particularly we prove that the automorphism group of group G is metacyclic if and only if  G is cyclic of order  p^n.
Shirin Fouladi
doaj  

New Two-Stage Automorphism Group Decoders for Cyclic Codes

IEEE Access, 2020
Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because they have higher
Chanki Kim, Jong-Seon No
doaj   +1 more source

On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]

International Journal of Group Theory, 2022
For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar, Soham Swadhin Pradhan   +1 more
doaj   +1 more source

Extrinsic properties of automorphism groups of formal groups [PDF]

, 2006
We prove two conjectures on the automorphism group of a one-dimensional formal group law defined over a field of positive characteristic. The first is that if a series commutes with a nontorsion automorphism of the formal group law, then that series is ...
Lubin, Jonathan D., Sarkis, Ghassan Y.
core   +2 more sources

Every group has a terminating transfinite automorphism tower

, 1998
The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
core   +1 more source

Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]

, 2005
We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel, A. Borel, A. Borel, B.A.F. Wehrfritz, B.A.F. Wehrfritz, D. Segal, D. Sullivan, D. Sullivan, F. Grunewald, F. Grunewald, F. Grunewald, F. Grunewald, F. Grunewald, F. Grunewald, F. Grunewald, Fritz Grunewald, G. Baumslag, G. Baumslag, G.D. Mostow, G.D. Mostow, I. Ju. Merzljakov, J. Roitberg, J.-L. Koszul, J.-P. Serre, K. Nomizu, K.S. Brown, L. Auslander, L. Auslander, L. Auslander, L. Auslander, L.A. Lambe, M. du Sautoy, O. Baues, O. Baues, Oliver Baues, P. Deligne, P.A. Griffiths, P.F. Pickel, R.M. Bryant, S. Maclane, V.A. Romankov   +40 more
core   +2 more sources

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

The automorphism group for p-central p-groups [PDF]

International Journal of Group Theory, 2012
A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides the ...
Anitha Thillaisundaram
doaj  

Automorphisms of groups

Journal of Algebra, 2007
AbstractThe main purpose of the present paper is to give an explicit description of the Wells map of a given group extension to the case of automorphisms acting trivially on the quotient group. From this we obtain some of new necessary and sufficient conditions for an automorphism of a normal subgroup of a group to extend to the group itself, with ...
openaire   +2 more sources