Results 1 to 10 of about 293 (60)

Fusion systems [PDF]

open access: yes, 2016
This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
core   +3 more sources

Cohomology of Finite Groups: Interactions and Applications (hybrid meeting) [PDF]

open access: yes, 2020
The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fifth in a series that has emphasized the interactions of group cohomology with other areas. In spite of

core   +2 more sources

Compact groups in which all elements are almost right Engel [PDF]

open access: yes, 2019
We say that an element g of a group G is almost right Engel if there is a finite set R(g) such that for every x∈G all sufficiently long commutators [...[[g,x],x],…,x] belong to R(g), that is, for every x∈G there is a positive integer n(x,g) such that [...
Khukhro, Evgeny, Shumyatsky, Pavel
core   +1 more source

Reduced fusion systems over p-groups with abelian subgroup of index p: II [PDF]

open access: yes, 2017
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p. We classify the simple fusion systems over all such groups S in which A is essential.
Craven, David   +2 more
core   +2 more sources

Problems on characters : solvable groups [PDF]

open access: yes, 2023
I review some problems on characters of finite solvable groups, while introducing new ...
Navarro, Gabriel
core   +1 more source

Almost Engel compact groups [PDF]

open access: yes, 2018
We say that a group G is almost Engel if for every g∈G there is a finite set E(g) such that for every x∈G all sufficiently long commutators [...[[x,g],g],…,g] belong to E(g), that is, for every x∈G there is a positive integer n(x,g) such that [...[[x,g]
E.I. Khukhro   +16 more
core   +1 more source

Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups

open access: yes, 2017
Let $\pi$ be a set of primes. According to H. Wielandt, a subgroup $H$ of a finite group $X$ is called a $\pi$-submaximal subgroup if there is a monomorphism $\phi:X\rightarrow Y$ into a finite group $Y$ such that $X^\phi$ is subnormal in $Y$ and $H^\phi=
Guo, Wenbin, Revin, Danila
core   +1 more source

Nilpotence and descent in equivariant stable homotopy theory

open access: yes, 2016
Let $G$ be a finite group and let $\mathscr{F}$ be a family of subgroups of $G$. We introduce a class of $G$-equivariant spectra that we call $\mathscr{F}$-nilpotent.
Mathew, Akhil   +2 more
core   +1 more source

On the Burnside ring of a finite group [PDF]

open access: yes, 1975
Imperial Users ...
Nicolson, Donald Macleod   +1 more
core  

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