Related papers: JSJ Decompositions of pro-p Groups

We give a classification of irreducible admissible modulo $p$ representations of a split $p$-adic reductive group in terms of supersingular representations. This is a generalization of a theorem of Herzig.

Irrespective of whether n is prime, prime power with exponent >1, or composite, the group U_n of units of Z_n can sometimes be obtained as the direct product of cyclic groups generated by x, x+k and x+2k, for x, k in Z_n. Indeed, for many…

Pro-$p$ groups of finite powerful class are studied. We prove that these are $p$-adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite $p$-groups of…

We extend the notion of the $J$-invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-split twisted flag varieties. Besides, we establish some…

In this article, we prove a decomposition theorem on differential polynomials of theta functions of high level.

We begin the study of character sheaves on a not necessarily connected reductive group, extending the known theory for connected groups.

This paper surveys some results and methods in topological transformation groups.

Groups, in which every subgroup containing some fixed primary cyclic subgroup has a complement, are investigated.

In this paper, we study the structure of finite groups with a large number of conjugacy classes of $p$-elements for some prime $p$. As consequences, we obtain some new criteria for the existence of normal $p$-complements in finite groups.

We prolong research of Schroder quasigroups and Schroder T-quasigroups.

This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.

We prove several generalisations of the ping-pong lemma for negatively curved groups.

We discuss some aspects of the theory of subelliptic estimates.

The notion of random self-decomposability is generalized further. The notion is then extended to non-negative integer-valued distributions.

We survey some recent advances in the homotopy theory of classifying spaces, and homotopical group theory. We focus on the classification of p-compact groups in terms of root data over the p-adic integers, and discuss some of its…

We prove that any type in an NIP theory can be decomposed into a stable part (a generically stable partial type) and a distal-like quotient.

We prove that a large family of graphs which are decomposable with respect to the modular decomposition can be reconstructed from their collection of vertex-deleted subgraphs.

Let $p$ be a fixed prime number. The main purpose of this paper is to introduce the notion of \textit{irreducible} $p$-local compact group, which provides a first reduction towards a classification of all $p$-local compact groups. In order…

We review recent developments in the theory of Thompson group representations related to knot theory.

We compute Euler characteristics of p-subgroup categories of finite groups