How To Select Max Amount Rows

please help to select these rows from these tables my tables are

table1
table1Id groupId table2id price
1 1 1 10
2 1 3 1000
3 1 4 500
4 2 1 5
5 2 3 1000
6 2 2 2000

table2
table2id name
1 hello
2 test
3 test1
4 test2

ok i want to select maximum priced row from table1 grouped by groupid
with table2id and table2.name
my out put is

groupid price table2id table2.name
1 1000 3 test1
2 2000 2 test

if i do :
select groupid,max(table1.price) as price from table1 group by price

this will give me the max priced row from table1
but when i join them with the table2 it gives me all rows
like

Select groupid,max(price) as price,table2id,table2.name from table1
inner join on table2
group by groupid,table2id,table2.name

it gives me all rows cause i had to group by table2.id and table2.name
but i can't take it out cause it give me no aggrigated value error
i can't figure out any other way, please help

SQL Server 2000

thanks

eric