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Groups with many Subgroups which are Commensurable with some Normal Subgroup [PDF]

open access: yesAdvances in Group Theory and Applications, 2019
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]

open access: yes, 2019
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]

open access: yesProceedings of the American Mathematical Society, 1980
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]

open access: yesJournal of Hyperstructures, 2018
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

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
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]

open access: yes, 2015
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

open access: yesAIMS Mathematics, 2023
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]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2012
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]

open access: yesProceedings of the American Mathematical Society, 1988
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

Fuzzy cosets in AG-groups

open access: yesAIMS Mathematics, 2022
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

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