1
                                             As Filed Pursuant to Rule 424(b)(3)
                                             Registration No. 333-75321

        Prospectus Supplement No. 21 to the Prospectus dated May 18, 1999.

                                  $75,000,000

                         THE GOLDMAN SACHS GROUP, INC.

                          Medium-Term Notes, Series B

                            ------------------------

    The note being purchased has the following terms:

PRINCIPAL AMOUNT: $75,000,000

STATED MATURITY: September 1, 2000

SPECIFIED CURRENCY: U.S. dollars

    - principal: U.S. dollars
    - interest: U.S. dollars
    - exchange rate agent: not applicable

ORIGINAL ISSUE DATE: August 31, 1999

ORIGINAL ISSUE PRICE: 100%

NET PROCEEDS TO GOLDMAN SACHS: 99.85%

ORIGINAL ISSUE DISCOUNT NOTE: no

    - total amount of OID:
    - yield to maturity:
    - initial accrual period OID:

FORM OF NOTE:

    - master global form only: yes
    - non-global form available: no

REDEMPTION AND REPAYMENT: not applicable

    - redemption commencement date:
    - repayment date(s):
    - redemption or repayment price(s):

IF INTEREST RATE IS FIXED: yes

    - annual rate: 6.07%
    - interest payment date: September 1, 2000 only
    - regular record date: August 17, 2000
IF INTEREST RATE IS FLOATING: not applicable

    - base rate:

      - commercial paper rate:
      - prime rate:
      - LIBOR:
         - Telerate LIBOR page:
         - Reuters screen LIBOR page:
         - index currency:
      - EURIBOR:
      - treasury rate:
      - CMT rate:
        - Telerate page 7051:
        - Telerate page 7052 (weekly/monthly):
        - CMT index maturity (if not two years):
      - CD rate:
      - federal funds rate:
      - 11th district rate:
    - index maturity:
    - spread:
    - spread multiplier:
    - initial base rate:
    - maximum rate:
    - minimum rate:
    - interest reset date(s):
    - interest payment date(s):
    - calculation agent:

DEFEASANCE APPLIES AS FOLLOWS:

    - full defeasance -- i.e., our right to be relieved of all our obligations
      on the note by placing funds in trust for the investor:
    - covenant defeasance -- i.e., our right to be relieved of specified
      provisions of the note by placing funds in trust for the investor:

- ---------------

     The information above, if any, about the original issue date, original
issue price, net proceeds and original issue discount relates only to the
initial sale of the note. If the note is sold in a market-making transaction
after its initial sale, information about the price paid and the date of the
sale will be provided in a separate confirmation of sale. Please refer to the
attached prospectus for additional information about the note being purchased.
                            ------------------------
     NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY OTHER REGULATORY
BODY HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR PASSED UPON THE ADEQUACY
OR ACCURACY OF THIS PROSPECTUS.
ANY REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.
                            ------------------------

     Goldman Sachs may use this prospectus supplement in the initial sale of the
note. In addition, Goldman, Sachs & Co. or any other affiliate of Goldman Sachs
may use this prospectus supplement in a market-making transaction in the note
after its initial sale. UNLESS GOLDMAN SACHS OR ITS AGENT INFORMS THE PURCHASER
OTHERWISE IN THE CONFIRMATION OF SALE, THIS PROSPECTUS SUPPLEMENT IS BEING USED
IN A MARKET-MAKING TRANSACTION.
                              GOLDMAN, SACHS & CO.
                            ------------------------

                  Prospectus Supplement dated August 30, 1999.