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Die Lösung aus dem Buch „Microsoft® SQL Server ® 2012 High-Performance T-SQL Using Window Functions“

;with C1 as(
select GroupID, FromDate as ts, +1 as type, 1 as sub
  from dbo.table_name
union all
select GroupID, dateadd(day, +1, ToDate) as ts, -1 as type, 0 as sub
  from dbo.table_name),
C2 as(
select C1.*
     , sum(type) over(partition by GroupID order by ts, type desc
                      rows between unbounded preceding and current row) - sub as cnt
  from C1),
C3 as(
select GroupID, ts, floor((row_number() over(partition by GroupID order by ts) - 1) / 2 + 1) as grpnum
  from C2
  where cnt = 0)

select GroupID, min(ts) as FromDate, dateadd(day, -1, max(ts)) as ToDate
  from C3
  group by GroupID, grpnum;

Tabelle erstellen:

if object_id('table_name') is not null
  drop table table_name
create table table_name(GroupID varchar(100), FromDate datetime,ToDate datetime)
insert into table_name
select 'A', '01/01/2012', '12/31/2012' union all
select 'A', '12/01/2013', '11/30/2014' union all
select 'A', '01/01/2015', '12/31/2015' union all
select 'A', '01/01/2015', '12/31/2015' union all
select 'A', '02/01/2015', '03/31/2015' union all
select 'A', '01/01/2013', '12/31/2013'