Autocenral series and n-autoisoclinism of groups

In 1976 Bioch introduced the concept of n-isoclinism of groups. Using the definition of absolute centre and autocommutator subgroup of a group introduced by Hegarty, the notion of autoisoclinism has been studied in the recent years. In this article we first derive some results from definition of Heg...

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Published inIndian journal of pure and applied mathematics Vol. 56; no. 2; pp. 700 - 704
Main Authors Sepehrizadeh, Zohreh, Rismanchian, Mohammad Reza
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.06.2025
Subjects
Mathematics
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ISSN0019-5588
0975-7465
DOI10.1007/s13226-023-00512-0

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Summary:In 1976 Bioch introduced the concept of n-isoclinism of groups. Using the definition of absolute centre and autocommutator subgroup of a group introduced by Hegarty, the notion of autoisoclinism has been studied in the recent years. In this article we first derive some results from definition of Hegarty. Then we introduce the concept of n-autoisoclinism, and obtain some basic results similar to n-isoclinism.
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ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00512-0