Results 1 to 10 of about 293 (60)
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
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Cohomology of Finite Groups: Interactions and Applications (hybrid meeting) [PDF]
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
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Compact groups in which all elements are almost right Engel [PDF]
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
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Reduced fusion systems over p-groups with abelian subgroup of index p: II [PDF]
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
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Problems on characters : solvable groups [PDF]
I review some problems on characters of finite solvable groups, while introducing new ...
Navarro, Gabriel
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Pro-p Extensions of Global Fields and pro-p Groups [PDF]
[no abstract ...
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Almost Engel compact groups [PDF]
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
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Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups
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
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Nilpotence and descent in equivariant stable homotopy theory
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
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On the Burnside ring of a finite group [PDF]
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Nicolson, Donald Macleod +1 more
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