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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6383| Title: | z-classes in groups: a survey |
| Authors: | Bhunia, Sushil SINGH, ANUPAM Dept. of Mathematics |
| Keywords: | z-classes Groups Classical groups Glgebraic groups 2021-NOV-WEEK3 TOC-NOV-2021 2021 |
| Issue Date: | Nov-2021 |
| Publisher: | Indian National Science Academy/.Springer Nature |
| Citation: | Indian Journal of Pure and Applied Mathematics, 52, 713–720. |
| Abstract: | This survey article explores the notion of z-classes in groups. The concept introduced here is related to the notion of orbit types in transformation groups, and types or genus in the representation theory of finite groups of Lie type. Two elements in a group are said to be z-equivalent (or z-conjugate) if their centralizers are conjugate. This is a weaker notion than the conjugacy of elements. In this survey article, we present several known results on this topic and suggest some further questions. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6383 https://doi.org/10.1007/s13226-021-00186-6 |
| ISSN: | 0019-5588 0975-7465 |
| Appears in Collections: | JOURNAL ARTICLES |
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