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Displaying 21 – 40 of 53

On loops that are abelian groups over the nucleus and Buchsteiner loops

Piroska Csörgö (2008)

Commentationes Mathematicae Universitatis Carolinae

We give sufficient and in some cases necessary conditions for the conjugacy closedness of $Q / Z (Q)$ provided the commutativity of $Q / N$ . We show that if for some loop $Q$ , $Q / N$ and $Inn Q$ are abelian groups, then $Q / Z (Q)$ is a CC loop, consequently $Q$ has nilpotency class at most three. We give additionally some reasonable conditions which imply the nilpotency of the multiplication group of class at most three. We describe the structure of Buchsteiner loops with abelian inner mapping groups.

On modular projective representations of finite nilpotent groups

Leonid F. Barannyk, Kamila Sobolewska (2001)

Colloquium Mathematicae

Our aim is to determine necessary and sufficient conditions for a finite nilpotent group to have a faithful irreducible projective representation over a field of characteristic p ≥ 0.

On monomial p...-representations of finite p-groups.

Jorn B. Olsson (1977)

Mathematica Scandinavica

On $p$ -groups whose $L$ -automorphism group is transitive on the atoms

Andrea Lucchini (1988)

Rendiconti del Seminario Matematico della Università di Padova

On $p$ -groups with abelian automorphism group

Marta Morigi (1994)

Rendiconti del Seminario Matematico della Università di Padova

On p-Complements of Sylowizers.

Hans Lausch (1975)

Mathematische Zeitschrift

On P-groups of Small Order

Theodoros Exarchakos (1989)

Publications de l'Institut Mathématique

On p...-High Injectives.

Charles Megibben (1971)

Mathematische Zeitschrift

On presentations of finite p-groups.

M.F. Newman, W. Gaschütz (1970)

Journal für die reine und angewandte Mathematik

On Rough Subgroup of a Group

Xiquan Liang, Dailu Li (2009)

Formalized Mathematics

This article describes a rough subgroup with respect to a normal subgroup of a group, and some properties of the lower and the upper approximations in a group.

On small distances of small 2-groups

Natalia Zhukavets (2001)

Commentationes Mathematicae Universitatis Carolinae

The paper reports the results of a search for pairs of groups of order $n$ that can be placed in the distance $n^{2} / 4$ for the case when $n \in {16, 32}$ . The constructions that are used are of the general character and some of their properties are discussed as well.

On Some Finite 2-Groups of Deficiency Zero

Ali-Reza Jamali (1997)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On some metabelian 2-groups and applications I

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous (2016)

Colloquium Mathematicae

Let G be some metabelian 2-group satisfying the condition G/G’ ≃ ℤ/2ℤ × ℤ/2ℤ × ℤ/2ℤ. In this paper, we construct all the subgroups of G of index 2 or 4, we give the abelianization types of these subgroups and we compute the kernel of the transfer map. Then we apply these results to study the capitulation problem for the 2-ideal classes of some fields k satisfying the condition $G a l (k ₂^{(2)} / k) ≃ G$ , where $k ₂^{(2)}$ is the second Hilbert 2-class field of k.

On special $p$ -groups

Renza Cortini (1998)

Bollettino dell'Unione Matematica Italiana

In questo lavoro viene data una caratterizzazione di quei $p$ -gruppi nilpotenti di classe due ed esponente $p$ che sono speciali. Vengono inoltre studiate alcune costruzioni, automorfismi e sottogruppi abeliani di $p$ -gruppi speciali.

On (t + ...)-transitive Permutation Groups.

John P.J. McDermott (1976)

Mathematische Zeitschrift

On the average number of Sylow subgroups in finite groups

Alireza Khalili Asboei, Seyed Sadegh Salehi Amiri (2022)

Czechoslovak Mathematical Journal

We prove that if the average number of Sylow subgroups of a finite group is less than $\frac{41}{5}$ and not equal to $\frac{29}{4}$ , then $G$ is solvable or $G / F (G) ≅ A_{5}$ . In particular, if the average number of Sylow subgroups of a finite group is $\frac{29}{4}$ , then $G / N ≅ A_{5}$ , where $N$ is the largest normal solvable subgroup of $G$ . This generalizes an earlier result by Moretó et al.

Currently displaying 21 – 40 of 53

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Displaying 21 – 40 of 53

On loops that are abelian groups over the nucleus and Buchsteiner loops

On modular projective representations of finite nilpotent groups

On monomial p...-representations of finite p-groups.

On $p$ -groups whose $L$ -automorphism group is transitive on the atoms

On $p$ -groups with abelian automorphism group

On p-Complements of Sylowizers.

On P-groups of Small Order

On p...-High Injectives.

On presentations of finite p-groups.

On Rough Subgroup of a Group

On small distances of small 2-groups

On Some Finite 2-Groups of Deficiency Zero

On some metabelian 2-groups and applications I

On special $p$ -groups

On (t + ...)-transitive Permutation Groups.

On the average number of Sylow subgroups in finite groups

On the Breadth of a Finite p-Group.

On the centralizer of an automorphism of order 2 of the Burnside group $B_{0} (2, 5)$ .

On the cohomology of groups of p-length 1.

On the embedding of a finite group as Frattini subgroup.

Currently displaying 21 – 40 of 53