We define and characterize a class of $ p $-complete spaces $ X $ which have many of the
same properties as the $ p $-completions of classifying spaces of finite groups. For example …

Let $\eta (z) $ be the Dedekind $\eta $-function. In this work we exhibit all modular forms of
integral weight $ f (z)=\eta (t_1z)^{r_1}\eta (t_2z)^{r_2}\dots\eta (t_sz)^{r_s} $, for positive …

Let $ G $ be a finite group, and write $\operatorname {cd}(G) $ for the set of degrees of
irreducible characters of $ G $. We define $\Gamma (G) $ to be the graph whose vertex set …

The five exceptional simple Lie algebras over the complex number are included one within
the other as $\mathfrak {g} _2\subset\mathfrak {f} _4\subset\mathfrak {e} _6\subset\mathfrak …

We present a new approach to analysing finite graphs which admit a vertex intransitive
group of automorphisms $ G $ and are either locally $(G, s) $–arc transitive for $ s\geq 2$ or …

ON THE NUMBER OF COMPONENTS OF A GRAPH RELATED TO CHARACTER
DEGREES and Satz 2 of [8] yields GS A5 or G SS SL(2,8). Page 1 PROCEEDINGS OF THE …

Let k be a field. The Cremona group Crd (k) is the group of birational automorphisms of the
projective space Pd k, or, equivalently, the group of kautomorphisms of the rational function …

We determine upper bounds for the maximum order of an element of a finite almost simple
group with socle $ T $ in terms of the minimum index $ m (T) $ of a maximal subgroup of $ T …

Axial algebras are a recently introduced class of non-associative algebra motivated by
applications to groups and vertex-operator algebras. We develop the structure theory of …

We prove several results on products of conjugacy classes in finite simple groups. The first
result is that for any finite nonabelian simple groups, there exists a triple of conjugate …