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In one embodiment, a system is provided that includes a first gas turbine engine. The first gas turbine engine has a first compressor configured to intake air and to produce a first compressed air and a first combustor configured to combust a first mixture to produce a first combustion gas. The firs

In one embodiment, a system is provided that includes a first gas turbine engine. The first gas turbine engine has a first compressor configured to intake air and to produce a first compressed air and a first combustor configured to combust a first mixture to produce a first combustion gas. The first mixture has a first fuel, at least a first portion of the first compressed air, and a second combustion gas from a second gas turbine engine. The first gas turbine engine also includes a first turbine configured to extract work from the first combustion gas.

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1. A system, comprising: a first gas turbine engine, comprising: a first combustor configured to stoichiometrically combust a first mixture to produce a first combustion gas;a first turbine configured to extract work from the first combustion gas and output a first exhaust gas; anda first compressor

1. A system, comprising: a first gas turbine engine, comprising: a first combustor configured to stoichiometrically combust a first mixture to produce a first combustion gas;a first turbine configured to extract work from the first combustion gas and output a first exhaust gas; anda first compressor fluidly coupled to an output of the first turbine and configured to compress the first exhaust gas to produce a compressed exhaust gas, wherein the first gas turbine engine routes a first portion of the compressed exhaust gas to the first combustor, wherein the first gas turbine engine is configured to export a second portion of the compressed exhaust gas directly to additional combustors of additional gas turbine engines, and wherein the second portion of the compressed exhaust gas is between approximately 30 percent and 50 percent of a total amount of the compressed exhaust gas produced by the first gas turbine engine. 2. The system of claim 1, wherein the first combustor is configured to receive a first air intake from a second compressor of a second gas turbine engine, and the first compressor is configured to output the second portion of the compressed exhaust gas to a second combustor of the second gas turbine engine. 3. The system of claim 2, wherein the first combustor is configured to receive a second air intake from a third compressor of a third gas turbine engine, and the first compressor is configured to output the second portion of the compressed exhaust gas to the second combustor of the second gas turbine engine and to a third combustor of the third gas turbine engine. 4. The system of claim 3, wherein the first combustor is configured to receive a third air intake from a fourth compressor of a fourth gas turbine engine, and the first compressor is configured to output the second portion of the compressed exhaust gas to the second combustor of the second gas turbine engine, the third combustor of the third gas turbine engine, and a fourth combustor of the fourth gas turbine engine. 5. The system of claim 1, wherein the first combustor is configured to combust the first mixture stoichiometrically to produce the first combustion gas at least substantially free of oxygen. 6. The system of claim 1, wherein the first gas turbine engine excludes an exhaust stack, and the first gas turbine engine is configured to provide exhaust gas recirculation (EGR) of all of the first exhaust gas. 7. The system of claim 1, comprising a first exhaust path from the first gas turbine engine, wherein the first exhaust path excludes a carbon monoxide (CO) catalyst. 8. The system of claim 1, comprising a conduit fluidly coupling a compressed exhaust gas outlet of the first gas turbine engine to an exhaust gas inlet of one of the additional combustors. 9. A system, comprising: a first gas turbine engine, comprising: a first compressor configured to intake air and produce a first compressed air;a first combustor configured to combust a first mixture to produce a first combustion gas, wherein the first mixture comprises a first fuel, at least a first portion of the first compressed air, and a first portion of a compressed exhaust gas output exported from an exhaust gas outlet of a second gas turbine engine, wherein the compressed exhaust gas output exported from the second gas turbine engine is between approximately 30 percent and 50 percent of a total amount of compressed exhaust gas generated by the second gas turbine engine; anda first turbine configured to extract work from the first combustion gas; anda conduit directly coupling the exhaust gas outlet of the second gas turbine engine to an exhaust gas inlet of the first combustor such that the first combustor receives the first portion of the compressed exhaust gas output. 10. The system of claim 9, wherein the first compressor is configured to output a second portion of the first compressed air to the second gas turbine engine. 11. The system of claim 10, comprising the second gas turbine engine having a second compressor, a second combustor, and a second turbine, wherein the second compressor is configured to compress exhaust gas prior to delivery to the first combustor, and the second combustor is configured to receive the second portion of the first compressed air downstream of the second compressor. 12. The system of claim 11, comprising a third gas turbine engine having a third compressor, a third combustor, and a third turbine, wherein the third combustor is configured to receive a second portion of the compressed exhaust gas output exported from the second gas turbine engine. 13. The system of claim 9, comprising a first exhaust path from the first gas turbine engine, wherein the first exhaust path includes at least one carbon monoxide (CO) catalyst, the second gas turbine engine comprises a second exhaust path from the second gas turbine engine, and the second exhaust path excludes any carbon monoxide (CO) catalyst. 14. The system of claim 9, comprising a first exhaust path from the first gas turbine engine, wherein the first exhaust path includes at least one exhaust stack, the second gas turbine engine comprises a second exhaust path from the second gas turbine engine, and the second exhaust path excludes any exhaust stack. 15. A method of operation of a gas turbine engine system, comprising: combusting a fuel within a first combustor of a first gas turbine engine to produce a combustion gas;extracting work from the combustion gas using a first turbine of the first gas turbine engine to produce an exhaust gas;compressing the exhaust gas using a compressor of the first gas turbine engine to produce a compressed exhaust gas;providing a first portion of the compressed exhaust gas from the compressor back to the first combustor;providing a second portion of the compressed exhaust gas from the compressor directly to one or more separate gas turbine engines, wherein the second portion of the compressed exhaust gas is between approximately 30 percent and 50 percent of the compressed exhaust gas generated by the compressor of the first gas turbine engine; andusing the second portion of the compressed exhaust gas in the one or more separate gas turbine engines as a diluent for combustion to control peak flame temperatures in respective combustors of the one or more separate gas turbine engines. 16. The method of claim 15, wherein providing the second portion of the compressed exhaust gas directly to the one or more separate gas turbine engines comprises providing an even distribution of the second portion of the compressed exhaust gas directly to respective combustors of the one or more separate gas turbine engines. 17. The method of claim 15, comprising receiving compressed air into the first combustor of the first gas turbine engine prior to combusting the fuel, wherein the compressed air is provided by the one or more separate gas turbine engines. 18. The method of claim 17, wherein combusting the fuel comprises combusting a mixture of the compressed exhaust gas and the compressed air, and the combustion is performed stoichiometrically to produce the combustion gas, wherein the combustion gas is substantially free of oxygen.