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Displaying 1 – 20 of 73

A Characterization of the Finite Groups PSL (n, q).

Kok-Wee Phan (1972)

Mathematische Zeitschrift

A matrix characterization of the maximal groups in $β_{X}$

Darald J. Hartfiel, Carlton J. Maxson (1975)

Czechoslovak Mathematical Journal

A Menon-type identity using Klee's function

Arya Chandran, Neha Elizabeth Thomas, K. Vishnu Namboothiri (2022)

Czechoslovak Mathematical Journal

Menon’s identity is a classical identity involving gcd sums and the Euler totient function $φ$ . A natural generalization of $φ$ is the Klee’s function $Φ_{s}$ . We derive a Menon-type identity using Klee’s function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017).

Active sums I.

J. Alejandro Díaz-Barriga, Francisco González-Acuña, Francisco Marmolejo, Leopoldo Román (2004)

Revista Matemática Complutense

Given a generating family F of subgroups of a group G closed under conjugation and with partial order compatible with inclusion, a new group S can be constructed, taking into account the multiplication in the subgroups and their mutual actions given by conjugation. The group S is called the active sum of F, has G as a homomorph and is such that S/Z(S) ≅ G/Z(G) where Z denotes the center.The basic question we investigate in this paper is: when is the active sum S of the family F isomorphic to the...

Berandungen gruppentheoretischer Eigenschaften

Reinhold Baer, Annemarie Schlette (1969)

Fundamenta Mathematicae

Bestimmung von Untergruppen durch Permutationsdarstellungen.

Eugen Peter Bauhoff (1976)

Elemente der Mathematik

Blocks, Vertices and Normal Subgroups.

Reinhard Knörr (1976)

Mathematische Zeitschrift

Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture.

Dabkowski, Mieczysław K., Przytycki, Józef H. (2002)

Geometry & Topology

Caratterizzazione dei gruppi speciali finiti $G$ mediante le classi di proiettività dei quozienti primi di $L (G)$

Alberto Frigerio (1970)

Rendiconti del Seminario Matematico della Università di Padova

Characterization by intersection graph of some families of finite nonsimple groups

Hossein Shahsavari, Behrooz Khosravi (2021)

Czechoslovak Mathematical Journal

For a finite group $G$ , $Γ (G)$ , the intersection graph of $G$ , is a simple graph whose vertices are all nontrivial proper subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent when $H \cap K \neq 1$ . In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs.