Results 11 to 20 of about 9,042,434 (209)

Nilpotent Fuzzy Subgroups

open access: yesMathematics, 2018
In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Rajab Ali Borzooei
exaly   +3 more sources

Unification and equation solving in nilpotent groups and monoids [PDF]

open access: yes, 1991
Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a
Burke, Edmund Kieran
core   +7 more sources

Nilpotent injectors in finite groups [PDF]

open access: yes, 2011
We prove that the odd nilpotent injectors (a certain type of maximal nilpotent subgroup) f a minimal simple group are all conjugate, extending the result from soluble groups. We also prove conjugacy in GU(\_3\)(q) and SU(\_3\)(q).
Morris, Thomas Bembridge Slater
core   +7 more sources

Group nilpotency from a graph point of view [PDF]

open access: yesInternational Journal of Group Theory, 2023
Let $\Gamma_G$ denote a graph associated with a group $G$. A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $\Gamma_H$ is isomorphic to $\Gamma_G$ for a finite nilpotent group $G$. In the present
Valentina Grazian   +2 more
doaj   +1 more source

The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2022
A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi   +2 more
doaj   +1 more source

Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

open access: yesJournal of Harbin University of Science and Technology, 2023
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
doaj   +1 more source

Nilpotent Groups [PDF]

open access: yesFormalized Mathematics, 2010
Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
openaire   +2 more sources

Characterization of finite groups with a unique non-nilpotent proper subgroup [PDF]

open access: yesInternational Journal of Group Theory, 2021
‎We characterize finite non-nilpotent groups $G$ with a unique non-nilpotent proper subgroup‎. ‎We show that $|G|$ has at most three prime divisors‎. ‎When $G$ is supersolvable we find the presentation of $G$ and when $G$ is non-supersolvable we show ...
Bijan Taeri, Fatemeh Tayanloo-Beyg
doaj   +1 more source

Semi Nilpotent Elements [PDF]

open access: yesEurasian Journal of Science and Engineering, 2017
In this paper we study semi nilpotent elements in rings. It is shown that every element of Z nwhere n is square free is a trivial semi nilpotent. It is proved that every nontrivial nilpotent element is a nontrivial semi nilpotent.
Kurdistan M. Ali , Parween A. Hummadi
doaj   +1 more source

On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
doaj   +1 more source

Home - About - Disclaimer - Privacy