Results 61 to 70 of about 6,235 (209)
Integrality, duality and finiteness in combinatoric topological strings
Journal of High Energy Physics, 2022 A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension d R of any irreducible complex representation of G.
Robert de Mello Koch +3 more
doaj +1 more source
The number of regular semisimple conjugacy classes in the finite classical groups [PDF]
, 2012 Using generating functions, we enumerate regular semisimple conjugacy classes in the finite classical groups. For the general linear, unitary, and symplectic groups this gives a different approach to known results; for the special orthogonal groups the ...
Jason E. Fulman, R. Guralnick
semanticscholar +1 more source
Context‐free graphs and their transition groups
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
2-groups with few conjugacy classes [PDF]
Proceedings of the Edinburgh Mathematical Society, 2000 AbstractAn old question of Brauer that asks how fast numbers of conjugacy classes grow is investigated by considering the least number cn of conjugacy classes in a group of order 2n. The numbers cn are computed for n ≤ 14 and a lower bound is given for c15.
Boston, Nigel, Walker, Judy L.
openaire +2 more sources
On a group of the form $2^{11}:M_{24}$ [PDF]
AUT Journal of Mathematics and ComputingThe Conway group $Co_{1}$ is one of the $26$ sporadic simple groups. It is the largest of the three Conway groups with order $4157776806543360000=2^{21}.3^9.5^4.7^2.11.13.23$ and has $22$ conjugacy classes of maximal subgroups.
Vasco Mugala +2 more
doaj +1 more source
Quasirandom groups enjoy interleaved mixing
Discrete Analysis, 2023 Quasirandom groups enjoy interleaved mixing, Discrete Analysis 2023:14, 4 pp. In 1985 Babai and Sós asked whether there is a constant $c>0$ such that every group of order $n>1$ has a product-free subset of size at least $cn$, where this means a set $A ...
Harm Derksen, Emanuele Viola
doaj +1 more source
Conjugacy classes and straight elements in Coxeter groups [PDF]
, 2013 . As a byproduct of our methods, we also obtain a characterisation of straight elements of W, namely of those elements w∈W for which l(wn)=nl(w) for any n∈Z. In particular, we generalise previous characterisations of straight elements within the class of
T. Marquis
semanticscholar +1 more source
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]
International Journal of Group TheoryFor a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source