Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Mohammad Zarrin"'
Autor:
Mohammad Zarrin
Publikováno v:
International Journal of Group Theory, Vol 6, Iss 2, Pp 7-15 (2017)
Let $G$ be a group and $mathcal{N}$ be the class of all nilpotent groups. A subset $A$ of $G$ is said to be nonnilpotent if for any two distinct elements $a$ and $b$ in $A$, $langle a, brangle notin mathcal{N}$. If, for any other nonnilpotent subset
Externí odkaz:
https://doaj.org/article/af22c152ad2d45fca0e4b2912fbe6fee
Publikováno v:
International Journal of Group Theory, Vol 6, Iss 1, Pp 17-20 (2017)
For any group $G$, we define an equivalence relation $thicksim$ as below: [forall g, h in G gthicksim h Longleftrightarrow |g|=|h|] the set of sizes of equivalence classes with respect to this relation is called the same
Externí odkaz:
https://doaj.org/article/903f99c675fb41948eef6f7319431d4b
Autor:
Mohammad Zarrin Mehr, David Molyneux, Jennifer Smith, Ronald Pelot, Floris Goerlandt, Robert Brown
Publikováno v:
Day 2 Tue, May 02, 2023.
Given the complexity of Search and Rescue (SAR) activities in the coastal regions of Eastern Canada and the Arctic, there is a need to objectively assess system capabilities at a high level to determine the expected rescue time for multiple scenarios
Publikováno v:
Comptes Rendus. Mathématique. 358:1227-1230
Autor:
Mohammad Zarrin, N. Ahmadkhah
Publikováno v:
Communications in Algebra. 47:3932-3938
For a finite group G, we define an equivalence relation ∼ on G as follows:∀ x,y∈G x∼y⇔|xG|=|yG|,where xG is the conjugacy class of x in G. The set of sizes of equivalence classes with respect to th...
Let o ( G ) be the average order of the elements of G, where G is a finite group. We show that there is no polynomial lower bound for o ( G ) in terms of o ( N ) , where N ⊴ G , even when G is a prime-power order group and N is abelian. This gives
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39dab5d6c75602d55bab472c953a1293
Publikováno v:
Czechoslovak Mathematical Journal. 69:665-670
We show that a finite nonabelian characteristically simple group G satisfies n = ∣π(G)∣ + 2 if and only if G ≅ A5, where n is the number of isomorphism classes of derived subgroups of G and π(G) is the set of prime divisors of the group G. Al
Autor:
Mark L. Lewis, Mohammad Zarrin
Publikováno v:
Journal of Group Theory. 22:157-168
Let G be a group and n a positive integer. We define B n ( G ) {B_{n}(G)} to be the intersection of the normalizers of all the non-n-subnormal subgroups of G. We give a new characterization for nilpotent groups in terms of a series defined via B
Publikováno v:
Mathematische Nachrichten. 291:2585-2589
Autor:
Mohammad Zarrin
Publikováno v:
Archiv der Mathematik. 111:349-351
In 1979, Herzog put forward the following conjecture: if two simple groups have the same number of involutions, then they are of the same order. We give a counterexample to this conjecture.