Classification of pro-$p$ subgroups of $\mathrm {SL}_2$ over a $p$-adic ring, where $p$ is an odd prime

Richard Pink

Displaying similar documents to “Classification of pro- $p$ subgroups of ${SL}_{2}$ over a $p$ -adic ring, where $p$ is an odd prime”

$K$ -essential subgroups of abelian groups. III.

Jindřich Bečvář (1977)

Commentationes Mathematicae Universitatis Carolinae

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On the rarity of quasinormal subgroups

John Cossey, Stewart Stonehewer (2011)

Rendiconti del Seminario Matematico della Università di Padova

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p-Isomorphisms of an abelian group of order $p^{m}$ .

G. Miller (1915)

Prace Matematyczno-Fizyczne

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$Π$ -normally embedded subgroups of finite soluble groups

A. Ballester-Bolinches, M. D. Pérez-Ramos (1995)

Rendiconti del Seminario Matematico della Università di Padova

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On lattice properties of S-permutably embedded subgroups of finite soluble groups

L. M. Ezquerro, M. Gómez-Fernández, X. Soler-Escrivà (2005)

Bollettino dell'Unione Matematica Italiana

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In this paper we prove the following results. Let π be a set of prime numbers and G a finite π-soluble group. Consider U, V ≤ G and $H \in {Hall}_{π} (G)$ such that $H \cap V \in {Hall}_{π} (V)$ and $1 \neq H \cap U \in {Hall}_{π} (U)$ . Suppose also $H \cap U$ is a Hall π-sub-group of some S-permutable subgroup of G. Then $H \cap U \cap V \in {Hall}_{π} (U \cap V)$ and $〈 H \cap U, H \cap V 〉 \in {Hall}_{π} (〈 U \cap V 〉)$ . Therefore,the set of all S-permutably embedded subgroups of a soluble group G into which a given Hall system Σ reduces is a sublattice of the lattice of all Σ-permutable subgroups of G. Moreover any two subgroups of this sublattice of coprimeorders...

On some properties of pronormal subgroups

Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)

Open Mathematics

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New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.

The situation of $S p_{4} (4) \cdot 2$ in the sporadic simple group He

Dieter Held (1988)

Rendiconti del Seminario Matematico della Università di Padova

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OnCSQ-normal subgroups of finite groups

Yong Xu, Xianhua Li (2016)

Open Mathematics

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We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.

Displaying similar documents to “Classification of pro- p subgroups of SL 2 over a p -adic ring, where p is an odd prime”

Displaying similar documents to “Classification of pro- $p$ subgroups of ${SL}_{2}$ over a $p$ -adic ring, where $p$ is an odd prime”