Results 101 to 110 of about 235,315 (244)
Finite groups with many involutions [PDF]
arXiv, 2009 It is shown that a finite group in which more than 3/4 of the elements are involutions must be an elementary abelian 2-group. A group in which exactly 3/4 of the elements are involutions is characterized as the direct product of the dihedral group of order 8 with an elementary abelian 2-group.
arxiv
Elementary abelian p-subgroups of algebraic groups [PDF]
Geometriae Dedicata, 1991 Let ~ be an algebraically closed field and let G be a finite-dimensional algebraic group over N which is nearly simple, i.e. the connected component of the identity G O is perfect, C6(G °) = Z(G °) and G°/Z(G °) is simple. We classify maximal elementary abelian p-subgroups of G which consist of semisimple elements, i.e. for all primes p ~ char K.
openaire +2 more sources
Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov +2 more
wiley +1 more source
An upper bound for the representation dimension of group algebras with an elementary abelian Sylow $p$-subgroup [PDF]
arXiv, 2018 Linckelmann showed in 2011 that a group algebra is separably equivalent to the group algebra of its Sylow p-subgroups. In this article we use this relationship, together with Mackey decomposition, to demonstrate that a group algebra of a group with an elementary abelian Sylow $p$-subgroup $P$, has representation dimension at most $|P|$.
arxiv
On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley +1 more source
Goodwillie's calculus via relative homological algebra. The abelian case [PDF]
arXiv, 2015 We will explain how elementary concepts of relative homological algebra yield the Taylor tower for functors from pointed categories to abelian groups recovering the constructions of Johnson and McCarthy.
arxiv
Density functions for epsilon multiplicity and families of ideals
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract A density function for an algebraic invariant is a measurable function on R$\mathbb {R}$ which measures the invariant on an R$\mathbb {R}$‐scale. This function carries a lot more information related to the invariant without seeking extra data.
Suprajo Das +2 more
wiley +1 more source
Counting integral points on symmetric varieties with applications to arithmetic statistics
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar +2 more
wiley +1 more source
On elementary amenable bounded automata groups [PDF]
arXiv, 2017 There are several natural families of groups acting on rooted trees for which every member is known to be amenable. It is, however, unclear what the elementary amenable members of these families look like. Towards clarifying this situation, we here study elementary amenable bounded automata groups. We are able to isolate the elementary amenable bounded
arxiv
A Sufficient Condition for Solvability in Groups Admitting Elementary Abelian Operator Groups [PDF]
, 1977 Martin R. Pettet
openalex +1 more source