Results 31 to 40 of about 5,597,312 (370)
Groups with many Subgroups which are Commensurable with some Normal Subgroup [PDF]
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal ...
Ulderico Dardano, Silvana Rinauro
doaj +1 more source
Centers of subgroups of big mapping class groups and the Tits alternative [PDF]
In this note we show that many subgroups of mapping class groups of infinite-type surfaces without boundary have trivial centers, including all normal subgroups.
Lanier, Justin, Loving, Marissa
core +3 more sources
Normal Subgroups Contained in Frattini Subgroups are Frattini Subgroups [PDF]
We prove that if N is a normal subgroup of the finite group G and if N ⊆ Φ ( G ) N \subseteq \Phi (G) , then there exists a finite group U such that N = Φ ( U ) N = \Phi (U) exactly.
openaire +1 more source
Soft intersection abel-grassmann’s groups [PDF]
This paper is a bridging among soft set theory, set theory and AG-groups, in which soft intersection AG-group (abbreviated by soft int-AG-group) is defined and investigated.
Aman Ullah +4 more
doaj +1 more source
Finite groups with given systems of generalised σ-permutable subgroups
Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
doaj +1 more source
Centralizers of normal subgroups and the $Z^*$-Theorem [PDF]
Glauberman's $Z^*$-theorem and analogous statements for odd primes show that, for any prime $p$ and any finite group $G$ with Sylow $p$-subgroup $S$, the centre of $G/O_{p^\prime}(G)$ is determined by the fusion system $\mathcal{F}_S(G)$.
Henke, Ellen, Semeraro, Jason
core +2 more sources
On conjunctive complex fuzzification of Lagrange's theorem of ξ−CFSG
The application of a complex fuzzy logic system based on a linear conjunctive operator represents a significant advancement in the field of data analysis and modeling, particularly for studying physical scenarios with multiple options.
Aneeza Imtiaz , Umer Shuaib
doaj +1 more source
ON SUBGROUPS OF ALMOST AMALGAMATED FREE PRODUCT TWO GROUPS WITH FINITE AMALGAMATED SUBGROUP [PDF]
Subgroups of groups which can be present as almost free product of two groups with finite amalgamated subgroup are studied.
A.P. Goryushkin
doaj +1 more source
Finite coverings by normal subgroups [PDF]
B. H. Neumann’s characterization of groups possessing a finite covering by proper subgroups and Baer’s characterization of groups with finite coverings by abelian subgroups are refined to results about finite coverings by normal subgroups. Various corollaries about the structure of groups having such finite coverings are derived.
Brodie, M. A. +2 more
openaire +2 more sources
In this paper, the notion of fuzzy AG-subgroups is further extended to introduce fuzzy cosets in AG-groups. It is worth mentioning that if A is any fuzzy AG-subgroup of G, then μA(xy)=μA(yx) for all x,y∈G, i.e.
Aman Ullah +2 more
doaj +1 more source

