The main purpose of this article is to study pro-p groups with quadratic F p-cohomology
algebra, ie H•-quadratic pro-p groups. Prime examples of such groups are the maximal …

Let $ p $ be a prime, $ D $ a finite dimensional noncommutative division $\mathbb {Q} _p $-
algebra, and $ SL_1 (D) $ the group of elements of $ D $ of reduced norm $1 $. When the …

We call a pro-$ p $ group $ G $ Frattini-injective if distinct finitely generated subgroups of $
G $ have distinct Frattinis. This paper is an initial effort toward a systematic study of Frattini …

We exhibit infinite lists of ramification indices $\delta $ for which the classical Lie groups
over the ring of integers of $ p $-adic fields admit a faithful self-similar action on a regular …

We show that a compact open subgroup H of a simple algebraic p-adic group G is self-
similar if and only if it is isotropic.

A non-trivial finitely generated pro-p group G is said to be strongly hereditarily selfsimilar of
index p if every non-trivial finitely generated closed subgroup of G admits a faithful …

A virtual endomorphism of a group $$$ G $$$ is a homomorphism of the form $$$\phi:
H\rightarrow G $$$, where $$$ H< G $$$ is a subgroup of finite index. A virtual …

A profinite group is index-stable if any two isomorphic open subgroups have the same index.
Let p be a prime, and let G be a compact p-adic analytic group with associated Q _p Q p-Lie …

To prove the theorem, we apply Theorem 5, an analogous result for HT &lt; math xmlns="
http://www. w3. org/1998/Math/MathML" &gt; &lt; msub&gt; &lt; mi mathvariant=" double …

Let 𝑝 be a prime. We say that a pro-𝑝 group is self-similar of index pk if it admits a faithful
self-similar action on apk-ary regular rooted tree such that the action is transitive on the first …