I will be happy if one gives references (oncluding current research) for `classification' (structure) of $p$-groups of maximal class which contain abelian maximal subgroup (i.e. abelian subgroup of index $p$).


I couldn't find the references online or in books of Y. Berkovich.


(Thanks in advance!)



On Groups of Maximal Class: Reference
I believe the study of $p$-groups of maximal class really kicked off with this paper:



> 
> Blackburn, N.
>  *On a special class of p-groups.*
>  Acta Math. 100 1958 45–92.
> 
> 
> 


These days the basic source is:



> 
> Leedham-Green, C. R.; McKay, Susan (2002), *The structure of groups of prime power order*, London Mathematical Society Monographs. New Series, 27, Oxford University Press.
> 
> 
> 


If you can't get hold of these email me and I'll send you an e-copy.


