Results 31 to 40 of about 6,369,178 (336)

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

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   +3 more sources

Exponential and weakly exponential subgroups of finite groups [PDF]

International Journal of Group Theory
Sabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
doaj   +1 more source

Can simple voting rules approximate the group AHP?

Examples and Counterexamples, 2022
We analyze by means of simulations whether simple voting rules can approximate a group priority obtained by a standard aggregation method used in the group Analytic Hierarchy Process (AHP).
Ryohei Matsumura, Yasuo Sasaki
doaj   +1 more source

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

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

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

A characterization of Janko’s simple group [PDF]

Proceedings of the American Mathematical Society, 1968
If G is a finite group, we say that a series of subgroups G = Go > G > * > Gn= 1 is a maximal series of length n of G if Gi is a maximal subgroup of Gi1, 1 _ i < n. A subgroup H of G is called mth maximal in G if there exists at least one maximal series H= Gm< Gm.,-<
T. M. Gagen
openalex   +4 more sources

Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]

International Journal of Group Theory, 2013
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
doaj  

On cubic semisymmetric bi-Cayley graphs on nonabelian simple groups

AIMS Mathematics, 2022
In this paper, we classify cubic semisymmetric bi-Cayley graphs on nonabelian simple groups, extending a remarkable classification of cubic nonnormal symmetric Cayley graphs on nonabelian simple groups.
Jiangmin Pan, Yingnan Zhang
doaj   +1 more source