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Analysis of institutional authors

Felipe, MjAuthor

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October 31, 2024
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Class sizes of prime-power order p′-elements and normal subgroups

Publicated to: ANNALI DI MATEMATICA PURA ED APPLICATA. 194 (5): 1527-1533 - 2015-10-01 194(5), DOI: 10.1007/s10231-014-0432-4

Authors:

Beltrán, A; Felipe, MJ; Shao, CG
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Affiliations

Univ Jaume 1, Dept Matemat - Author
Univ Jinan, Sch Math Sci, Jinan 250022 - Author
Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada - Author
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Abstract

We prove an extension of the renowned Ito's theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p'-elements and prime-power order elements. Let N be a normal subgroup of a finite group G and let p be a fixed prime. Suppose that vertical bar x(G)vertical bar = 1 or m for every q-element of N and for every prime q not equal p. Then, N has nilpotent p-complements.
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Keywords

Conjugacy class sizesFinite groupsFinite-groupsNormal subgroupsP '-elementsPrime-power order elementsP′-elements

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal ANNALI DI MATEMATICA PURA ED APPLICATA due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2015, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Applied Mathematics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-04:

  • Open Alex: 2
  • WoS: 2
  • Scopus: 2
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-04:

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: China.

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