Generalizations of $M$-groups
نویسندگان
چکیده
منابع مشابه
Monoid generalizations of the Richard Thompson groups
The groups Gk,1 of Richard Thompson and Graham Higman can be generalized in a natural way to monoids, that we call Mk,1, and to inverse monoids, called Invk,1; this is done by simply generalizing bijections to partial functions or partial injective functions. The monoids Mk,1 have connections with circuit complexity (studied in another paper). Here we prove that Mk,1 and Invk,1 are congruence-s...
متن کاملAnalytic Functions of M-Matrices and Generalizations
We introduce the notion of positivity cone K of matrices in enn and with such a K we associate sets Z and M. For suitable choices of K the set M consists of the classical (non-singular) M-matrices or of the positive definite (Hermitian) matrices. If A EM and I .;; p " 3 we prove that there is a unique B EM for which BP = A . If P > 3, this uniqueness theorem is false for general M and we prove ...
متن کاملOn $m^{th}$-autocommutator subgroup of finite abelian groups
Let $G$ be a group and $Aut(G)$ be the group of automorphisms of $G$. For any natural number $m$, the $m^{th}$-autocommutator subgroup of $G$ is defined as: $$K_{m} (G)=langle[g,alpha_{1},ldots,alpha_{m}] |gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$ In this paper, we obtain the $m^{th}$-autocommutator subgroup of all finite abelian groups.
متن کاملGeneralizations of a Result on Symmetry Groups of Attractors
The admissible symmetry groups of attractors for continuous equivariant mappings were classified in Ashwin and Melbourne [1994] and Melbourne, Dellnitz and Golubitsky [1993]. We consider extensions of these results to include attractors in fixed-point subspaces, attractors for equivariant diffeomorphisms and flows, and attractors in the presence of a continuous symmetry group. Our results lead ...
متن کاملPlane Curves and Their Fundamental Groups: Generalizations of Uludağ’s Construction
In this paper we investigate Uludağ’s method for constructing new curves whose fundamental groups are central extensions of the fundamental group of the original curve by finite cyclic groups. In the first part, we give some generalizations to his method in order to get new families of curves with controlled fundamental groups. In the second part, we discuss some properties of groups which are ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1307496-x