On isoclinic groups

Tappe, Jürgen

doi:10.1007/bf01214704

Cited by 15 publications

(3 citation statements)

References 3 publications

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“…The isoclinism in group theory, that is an equivalence relation on groups which generalizes isomorphism, was first introduced by Hall [9] for the purpose of classifying finite p-groups of small order. This concept was studied by several authors, including Tappe [18] and Weichsel [19]. In 1994, Moneyhun [17] extended this concept to Lie algebras that produces a partition on the class of all Lie algebras into equivalences classes.…”

Section: Introductionmentioning

confidence: 99%

$$\mathsf {Lie}$$Lie-Isoclinism of Pairs of Leibniz Algebras

Riyahi

Casas

2018

Bull. Malays. Math. Sci. Soc.

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The aim of this paper is to consider the relation between Lie-isoclinism and isomorphism of two pairs of Leibniz algebras. We show that, unlike the absolute case for finite dimensional Lie algebras, these concepts are not identical, even if the pairs of Leibniz algebras are Lie-stem. Moreover, throughout the paper we provide some conditions under which Lie-isoclinism and isomorphism of Lie-stem Leibniz algebras are equal. In order to get this equality, the concept of factor set is studied as well.

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Section: Introductionmentioning

confidence: 99%

$$\mathsf {Lie}$$Lie-Isoclinism of Pairs of Leibniz Algebras

Riyahi

Casas

2018

Bull. Malays. Math. Sci. Soc.

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“…The notion of isoclinism, which is an equivalence relation weaker than isomorphism, was introduced in [Hall (1940)], and detailed in [Hall and Senior (1964)]. This notion has since been further studied by a number of authors, [Jones and Wiegold (1974), Modabbernia (2012), Mohammadzadeh et al (2013), Parvaneh et al (2011), , Tappe (1976)].…”

Section: Introductionmentioning

confidence: 99%

Isoclinic Lie Crossed Modules

Ilgaz,

Odabaş,

Uslu

2016

Preprint

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“…This work was detailed in Hall and Senior (1964). After then, some new results were given in many papers, such as Jones and Wiegold (1974); Modabbernia (2012); Mohammadzadeh et al (2013); Parvaneh et al (2011); Salemkar et al (2008); Tappe (1976). Also the relation between groups and their stem extensions with Schur multiplicators were given in Beyl and Tappe (1982) where they consider the isoclinism of central group extensions.…”

Section: Introductionmentioning

confidence: 99%