Results 31 to 40 of about 6,465,245 (340)

Recognition by degree prime-power graph and order of some characteristically simple groups [PDF]

AUT Journal of Mathematics and Computing, 2021
In this paper, by the order of a group and triviality of $O_p(G)$ for some prime $p$, we give a new characterization for some characteristically simple groups. In fact, we prove that if {$p \in \{5, 17, 23, 37, 47, 73\}$ and $n \leqslant p$, where $n$ is
Afsane Bahri, Behrooz Khosravi, Morteza Baniasad Azad   +2 more
doaj   +1 more source

The minimum sum of element orders of finite groups [PDF]

International Journal of Group Theory, 2021
‎Let $ G $ be a finite group and \( \psi(G)=\sum_{g\in G}o(g) \)‎, ‎where $ o(g) $ denotes the order of $g\in G$‎. ‎We show that the Conjecture 4.6.5 posed in [Group Theory and Computation‎, ‎(2018) 59-90]‎, ‎is incorrect‎.
Maghsoud Jahani, Yadollah Marefat, Hasan Refaghat, Bahram Vakili Fasaghandisi   +3 more
doaj   +1 more source

ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]

Journal of the Australian Mathematical Society, 2016
The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
LUCCHINI, ANDREA, Marã3ti, Attila, Roney dougal, Colva M.   +2 more
openaire   +3 more sources

Simple Viscous Flows: from Boundary Layers to the Renormalization Group [PDF]

, 2007
The seemingly simple problem of determining the drag on a body moving through a very viscous fluid has, for over 150 years, been a source of theoretical confusion, mathematical paradoxes, and experimental artifacts, primarily arising from the complex ...
Allen, H. S., Arnold, H. D., Barenblatt, G. I., Bender, C. M., Bohlin, T., Bricmont, J., Chen, L., Chen, L., Chester, W., Eaves, L., Faxén, H., Goldenfeld, N. D., Happel, J., Hinch, E. J., John Veysey, Kadanoff, L. P., Kaplun, S., Kaplun, S., Kaplun, S., Lagerstrom, P. A., Lamb, H., Lamb, H., Lan, C., Landau, L., Liebster, H., Liebster, H., Linke, W., Lord Rayleigh, Moise, I., Nigel Goldenfeld, Noether, F., Oono, Y., Oseen, C. W., Oseen, C. W., Schmiedel, J., Shanks, D., Stokes, G. G., Stuckelberg, E., Tomotika, S., Tritton, D., Tritton, D. J., Van Dyke, M., Whitehead, A. N., Wieselsberger, C., Wieselsberger, C., Williams, W. E., Wilson, K., Wilson, K., Woodruff, S. L.   +48 more
core   +2 more sources

Groups and simple languages [PDF]

Transactions of the American Mathematical Society, 1983
With any finitely generated presentation (pi) = of a group G, one can associate a formal language WP(,0)((pi)), the reduced word problem of (pi), consisting of all words on the generators and their inverses which are equal to the identity of G but have no proper prefix equal to the identity.
openaire   +2 more sources

A lower bound on the number of finite simple groups

International Journal of Mathematics and Mathematical Sciences, 1980
Let S(n ...
Michael E. Mays
doaj   +1 more source

ON THE PRIME GRAPH OF SIMPLE GROUPS [PDF]

Bulletin of the Australian Mathematical Society, 2014
AbstractLet $G$ be a finite group, let ${\it\pi}(G)$ be the set of prime divisors of $|G|$ and let ${\rm\Gamma}(G)$ be the prime graph of $G$. This graph has vertex set ${\it\pi}(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$.
Burness, Tim C, Covato, Elisa
openaire   +3 more sources

Quasirecognition by prime graph of U_3(q) where 2 < q =p^{alpha} < 100 [PDF]

International Journal of Group Theory, 2012
Let G be a finite group and let Gamma(G) be the prime graphof G. Assume 2 < q = p^{alpha} < 100 . We determine finite groupsG such that Gamma(G) = Gamma(U_3(q)) and prove that if q neq3, 5, 9, 17, then U_3(q) is quasirecognizable by prime graph,i.e., if ...
Ali Iranmanesh, Abolfazl Tehranian, Alireza Khalili Asboei, Seyed Sadegh Salehi Amiri   +3 more
doaj  

Simple relations in the Cremona group

, 2010
We give a simple set of generators and relations for the Cremona group of the plane. Namely, we show that the Cremona group is the amalgamated product of the de Jonqui\`eres group with the group of automorphisms of the plane, divided by one relation ...
Blanc, Jérémy
core   +1 more source

On the Fundamental Group of a Simple Lie Group [PDF]

Nagoya Mathematical Journal, 1970
Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c.
openaire   +3 more sources