Results 11 to 20 of about 1,458,495 (316)

On One Class of the Infinite Non-Abelian Groups

Communications, 2010
We present some properties of one class of the infinite non-abelian groups. We deal with a generalization of the INH and KI groups. Our main results are Theorem 1, 2, 3 and Theorem 4.
Ludovit Tomanek, Anna Tomankova
doaj   +2 more sources

The powerful class of groups

Mathematische Nachrichten, 2023
AbstractPro‐ groups of finite powerful class are studied. We prove that these are ‐adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite ‐groups of fixed coclass and powerful class.
Moravec, Primož
openaire   +6 more sources

On F^ω-projectors and F^ω-covering subgroups of finite groups [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Only finite groups are considered. $\frak F$-projectors and $\frak F$-covering subgroups, where $\frak F$ is a certain class of groups, were introduced into consideration by W.~Gaschutz as a natural generalization of Sylow and Hall subgroups in finite ...
Sorokina, Marina M., Novikova, Diana G.
doaj   +1 more source

On the Class Group and the Local Class Group of a Pullback

Journal of Algebra, 1996
Let \(M\) be a non-zero maximal ideal of an integral domain \(T\), \(k=T/M\), \(\varphi: T\to k\) the natural homomorphism, and \(D\) a proper subring of \(k\). Let \(R\) be the pullback \[ \begin{tikzcd} R \ar[r] \ar[d] & D\ar[d] \\ T\ar[r,"\varphi"'] & k=T/M \quad .
FONTANA, Marco, Gabelli S.
openaire   +5 more sources

Uniformly exponential growth and mapping class groups of surfaces [PDF]

, 2007
We show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth.
Javier Aramayona, K. J. Shackleton, Aramayona, Javier, James W. Anderson, J. W. Anderson, J. Aramayona, Shackleton, K.J., Anderson, J.W., Anderson, James W., Aramayona, J., Kenneth J. Shackleton, Shackleton, Kenneth J.   +11 more
core   +1 more source

F^ω-injectors of finite groups [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Only finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W.
Sorokina, Marina M., Novikova, Diana G.
doaj   +1 more source

Trees and mapping class groups [PDF]

, 2009
There is a forgetful map from the mapping class group of a punctured surface to that of the surface with one fewer puncture. We prove that finitely generated purely pseudo-Anosov subgroups of the kernel of this map are convex cocompact in the sense of B.
Leininger, C., Leininger, Christopher J., Schleimer, Saul, Schleimer, S., Kent, R., Kent, Richard P.   +5 more
core   +1 more source

On the Root-class Residuality of HNN-extensions of Groups

Моделирование и анализ информационных систем, 2014
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
doaj   +1 more source

The t-Fibonacci sequences in the 2-generator p-groups of nilpotency class 2 [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this paper, we consider the 2-generator p-groups of nilpotency class 2. We will discuss the lengths of the periods of the t-Fibonacci sequences in these groups.
Elahe Mehraban, Ömur Deveci, Evren Hincal   +2 more
doaj   +1 more source

Enumerating finite class-2-nilpotent groups on 2 generators [PDF]

, 2009
We compute the numbers g(n,2,2) of nilpotent groups of order n, of class atmost 2 generated by at most 2 generators, by giving an explicit formula for theDirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}
Voll, Christopher, Christopher Voll
core   +1 more source