Results 41 to 50 of about 674,764 (293)

Mock Modular Mathieu Moonshine Modules [PDF]

, 2015
We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular forms.
Cheng, Miranda C. N., Dong, Xi, Duncan, John F. R., Harrison, Sarah, Kachru, Shamit, Wrase, Timm   +5 more
core   +2 more sources

Groups with the same orders of Sylow normalizers as the Mathieu groups

International Journal of Mathematics and Mathematical Sciences, 2005
There exist many characterizations for the sporadic simple groups. In this paper we give two new characterizations for the Mathieu sporadic groups. Let M be a Mathieu group and let p be the greatest prime divisor of |M|. In this paper, we prove that M is
Behrooz Khosravi, Behnam Khosravi
doaj   +1 more source

Amalgams Which Involve Sporadic Simple Groups I

Journal of Algebra, 1997
[For terminology and notions see the preceding review Zbl 0885.20013 of part I.] Part II is devoted to the commuting case. Here \(b=1\) and there are nine possible pairs \((P_1,P_2)\), eight of these are realized in one of the groups \(Co_2\), \(Co_1\), \(Fi_{22}\), \(\Aut(Fi_{22})\), \(Fi_{23}\), \(Fi_{24}'\), \(Fi_{24}\) and \(J_4\).
Parker, Christopher, Rowley, Peter
openaire   +3 more sources

Kimmerle conjecture for the Held and O'Nan sporadic simple groups [PDF]

, 2009
Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups.
Bódi, Viktor, Grishkov, A. N., Konovalov, A. B.   +2 more
core   +2 more sources

The exact spread of M23 is 8064 [PDF]

International Journal of Group Theory, 2012
Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial elements of $G$ $X:={x_1,ldots, x_r}subset G^{#}$ there exists an element $yin G$ with the property that $langle x_i,yrangle=G$ for every $1leq ileq r ...
B. Fairbairn
doaj  

Broué's abelian defect group conjecture holds for the Harada–Norton sporadic simple group HN [PDF]

, 2009
In representation theory of finite groups, there is a well-known and important conjecture due to M. Broue. He conjectures that, for any prime p, if a p-block A of a finite group G has an abelian defect group P, then A and its Brauer corresponding block B
Shigeo Koshitani, Jurgen Muller
semanticscholar   +1 more source

Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation

Mathematics, 2017
Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not necessarily minimal) permutation representations P .
Michel Planat, Hishamuddin Zainuddin
doaj   +1 more source

Measuring co-authorship and networking-adjusted scientific impact. [PDF]

PLoS ONE, 2008
Appraisal of the scientific impact of researchers, teams and institutions with productivity and citation metrics has major repercussions. Funding and promotion of individuals and survival of teams and institutions depend on publications and citations. In
John P A Ioannidis
doaj   +1 more source

Finite groups whose coprime graph is split, threshold, chordal, or a cograph [PDF]

Proceedings of the Estonian Academy of Sciences
Given a finite group G, the coprime graph of G, denoted by Γ(G), is defined as an undirected graph with the vertex set G, and for distinct x, y ∈ G, x is adjacent to y if and only if (o(x), o(y)) = 1, where o(x) and o(y) are the orders of x and y ...
Jin Chen, Shixun Lin, Xuanlong Ma
doaj   +1 more source

An improved 3-local characterisation of McL and its automorphism group [PDF]

, 2014
This article presents a 3-local characterisation of the sporadic simple group McL and its automorphism group. The theorem is underpinned by a further identification theorem the proof of which is character theoretic.
Parker, Chris, Stroth, Gernot
core   +2 more sources