Results 31 to 40 of about 5,621,576 (372)
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
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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
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Maximal Compact Normal Subgroups [PDF]
A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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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
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Groups with normal restriction property [PDF]
Let G be a finite group. A subgroup M of G is said to be an NR-subgroup if, whenever K is normal in M, then K^G\cap M=K, where K^G is the normal closure of K in G.
Tong-Viet, Hung P.
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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
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Subgroups close to normal subgroups
Let G be a group and H a subgroup. It is shown that the set of indices \(\{\) [H: \(H\cap gHg^{-1}]|\) \(g\in G\}\) has a finite upper bound n if and only if there is a normal subgroup \(N\trianglelefteq G\) which is commensurable with H; i.e., such that [H:N\(\cap H]\) and [N:N\(\cap H]\) are finite; moreover, the latter indices admit bounds depending
Lenstra, H.W., Bergman, G.
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Pancreatic cancer remains a lethal disease that responds poorly to multiple types of treatment. Therefore, the identification of distinct subgroups that exhibit unique therapeutic responses is an urgent requirement.
G. Luo +13 more
semanticscholar +1 more source
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

