Results 31 to 40 of about 1,692,668 (268)

P-Characters and Solvability of Finite Groups [PDF]

Advances in Group Theory and Applications
The aim of this paper is to show that if all P-characters of a finite group G are normally monomial, then G is solvable. Also, we show that all P-characters of a finite solvable group G are monomial.
Mina Ghorbani, Ali Iranmanesh, Abolfazl Tehranian   +2 more
doaj   +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

A New Characterization of Projective Special Linear Groups L₃(p²)

Mathematics
Let G be a finite group. The vertex set of the prime-power graph of G is defined as V(G)=pep(G)|p∈ρ(G), where ρ(G) is the set of all prime divisors of the degrees of all irreducible characters of G and pep(G)=maxψ(1)p∣ψ∈Irr(G).
Deluo Chen, Luyao Jiang, Yanxiong Yan
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

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  

Classifying cubic symmetric graphs of order 88p and 88p 2

Open Mathematics
For a simple graph Γ\Gamma , Γ\Gamma is said to be ss-regular, provided that the automorphism group of Γ\Gamma regularly acts on the set consisting of ss-arcs of Γ\Gamma .
Zhai Liangliang
doaj   +1 more source

Consensus Standards and Recommendations for Developmental and Cognitive Surveillance, Screening, and Evaluation in Sickle Cell Disease: Executive Summary From the National Alliance of Sickle Cell Centers Neurocognitive Workgroup

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Neurodevelopmental and neurocognitive difficulties are prevalent among individuals with sickle cell disease and warrant prompt identification and support. This Special Report provides an executive summary of standards and recommendations for surveillance, screening, and evaluation for development and cognition across the lifespan developed by ...
Alyssa M. Schlenz, Donna Murdaugh, Andrew M. Heitzer, Jennifer N. Longoria, Wendy Santos‐Modesitt, Arianna Martin, Judy Cavazos, Jeff Schatz, Catherine R. Hoyt, Alison King, Eboni I. Lance, Steven Hardy, Marsha Treadwell   +12 more
wiley   +1 more source

OD-characterization of alternating groups Ap+d

Open Mathematics, 2017
Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
doaj   +1 more source

Cohomology of simple modules for algebraic groups

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev, L.S. Kainbaeva, S.K. Menlikhozhayeva   +2 more
doaj   +1 more source

A note on finite groups with the indice of some maximal subgroups being primes [PDF]

International Journal of Group Theory, 2017
‎The Theorem 12 in [A note on‎ ‎$p$-nilpotence and solvability of finite groups‎, ‎J‎. ‎Algebra 321‎ ‎(2009) 1555--1560.] investigated the non-abelian simple groups in‎ ‎which some maximal subgroups have primes indices‎. ‎In this note we‎ ‎show that this
Cui Zhang
doaj   +1 more source