Results 11 to 20 of about 1,371,090 (265)
Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj +1 more source
Research on a Class of Special Quasi TA-Neutrosophic Extended Triplet: TA-Groups [PDF]
Neutrosophic Sets and Systems, 2023 Tarski associative groupoid (TA-groupoid) and Tarski associative neutrosophic extended triplet groupoid (TA-NET-groupoid) are two interesting structures in non-associative algebra. In this paper, a new concept of TA-group is proposed based on TA-groupoid,
Mingming Chen, Yudan Du, Xiaogang An
doaj +1 more source
On F^ω-projectors and F^ω-covering subgroups of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаOnly 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
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.
openaire +4 more sources
F^ω-injectors of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаOnly 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
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
Journal of the Australian Mathematical Society, 1969 In a paper by Polimeni [3] the concept of a c-group was introduced. A group is called a c-group if and only if every subnormal subgroup is characteristic. His paper claims to characterize finite soluble c-groups, which we will call fsc-groups. There are some errors in this paper; see the forthcoming review by K. W. Gruenberg in Mathematical Reviews.
Cimana, A. R., Gagen, T. M.
openaire +2 more sources
Every abelian group is a class group [PDF]
Pacific Journal of Mathematics, 1966 Let T be the set of minimal primes of a Krull domain A. If S is a subset of T9 we form B = n AP for PeS and study the relation of the class group of B to that of A. We find that the class group of B is always a homomorphic image of that of A. We use this type of construction to obtain a Krull domain with specified class group and then alter such a ...
openaire +2 more sources
Finite $2$-groups of class $2$ with a specific automorphism group [PDF]
International Journal of Group Theory, 2017 In this paper we determine all finite $2$-groups of class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner.
Marzieh Ahmadi, S. Mohsen Ghoraishi
doaj +1 more source