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infinite locally finite simple groups with many complemented subgroups
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نویسنده
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ferrara maria ,trombetti marco
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منبع
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international journal of group theory - 2022 - دوره : 11 - شماره : 3 - صفحه:191 -200
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چکیده
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We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, suzuki groups over an infinite locally finite field of characteristic 2, ree groups over an infinite locally finite field of characteristic 3. we also show that if the sylow primary subgroups of a locally finite simple group g have complemented subgroup lattice, then this is also the case for g.
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کلیدواژه
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k-group ,complemented subgroup ,locally finite simple group
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آدرس
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universit`a degli studi della campania “luigi vanvitelli”, dipartimento di matematica e fisica, italy, universit degli studi di napoli federico ii, dipartimento di matematica e applicazioni “renato caccioppoli”, italy
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پست الکترونیکی
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marco.trombetti@unina.it
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Authors
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