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 in | Indian journal of pure and applied mathematics Vol. 56; no. 2; pp. 700 - 704 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer Nature B.V
01.06.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0019-5588 0975-7465 |
| DOI | 10.1007/s13226-023-00512-0 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Sepehrizadeh, Zohreh Rismanchian, Mohammad Reza |
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| Cites_doi | 10.1006/jabr.1994.1318 10.1515/crll.1940.182.130 10.1007/s40995-019-00713-5 10.1016/0022-4049(86)90030-7 10.1080/00927872.2017.1332201 10.1080/00927872.2012.744030 10.2298/FIL1720241S 10.1016/S1385-7258(76)80003-0 10.1006/jabr.1995.1331 |
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| References | 512_CR6 Z Sepehrizadeh (512_CR13) 2019; 43 MR Rismanchian (512_CR10) 2015; 44 MRR Moghaddam (512_CR8) 2013 P Dutta (512_CR2) 2018; 46 Z Sepehrizadeh (512_CR12) 2018; 6 PV Hegarty (512_CR5) 1994; 169 P Lescot (512_CR7) 1995; 177 JC Bioch (512_CR1) 1976; 79 P Dutta (512_CR3) 2019; 48 Z Sepehrizadeh (512_CR11) 2017; 31 P Hall (512_CR4) 1940; 182 MR Rismanchian (512_CR9) 2014; 42 |
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| Title | Autocenral series and n-autoisoclinism of groups |
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