The connected algebraic groups over an algebraically closed field whose lattice of closed connected subgroups is complemented or relatively complemented are determined.
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King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Azad, Hassan
Biswas, Indranil
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Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, IndiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Biswas, Indranil
Chatterjee, Pralay
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Inst Math Sci, Madras 600113, Tamil Nadu, IndiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia