On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups
We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-05-01
|
| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.445/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206281163505664 |
|---|---|
| author | Rai, Pradeep K. |
| author_facet | Rai, Pradeep K. |
| author_sort | Rai, Pradeep K. |
| collection | DOAJ |
| description | We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group. |
| format | Article |
| id | doaj-art-ff417b812b124d4bb0848899aec9a155 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-ff417b812b124d4bb0848899aec9a1552025-02-07T11:07:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-05-01361G480380610.5802/crmath.44510.5802/crmath.445On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groupsRai, Pradeep K.0Mahindra University, Hyderabad, Telangana, IndiaWe prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.445/Schur multiplierfinite $p$-group |
| spellingShingle | Rai, Pradeep K. On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups Comptes Rendus. Mathématique Schur multiplier finite $p$-group |
| title | On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups |
| title_full | On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups |
| title_fullStr | On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups |
| title_full_unstemmed | On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups |
| title_short | On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups |
| title_sort | on the occurrence of elementary abelian p groups as the schur multiplier of non abelian p groups |
| topic | Schur multiplier finite $p$-group |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.445/ |
| work_keys_str_mv | AT raipradeepk ontheoccurrenceofelementaryabelianpgroupsastheschurmultiplierofnonabelianpgroups |