Specific automorphisms on a 2-generated p-group of class two
Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G)....
Saved in:
| Main Authors: | , |
|---|---|
| 格式: | Conference or Workshop Item |
| 出版: |
2013
|
| 主題: | |
| 在線閱讀: | http://eprints.utm.my/id/eprint/51313/ http://dx.doi.org/10.1063/1.4823871 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 總結: | Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G). We use the most updated classification given for G to find these automorphisms. The results of this study are applicable in classifying Aut(G), the automorphism group of G. |
|---|