Embeddings of generalized Latin squares in finite groups
Let n be a positive integer. A generalized Latin square of order n is an matrix such that the elements in each row and each column are distinct. The square is said to be commutative if the matrix is symmetric. Given , we show that for any , there exists a commutative generalized Latin square of orde...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
2015
|
| Subjects: | |
| Online Access: | http://eprints.um.edu.my/16531/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Let n be a positive integer. A generalized Latin square of order n is an matrix such that the elements in each row and each column are distinct. The square is said to be commutative if the matrix is symmetric. Given , we show that for any , there exists a commutative generalized Latin square of order n with m distinct elements which is embeddable in a finite group. We also show that for and for any where , there exists a non-commutative generalized Latin square of order n with m distinct elements which is embeddable in a finite group. |
|---|