Tits Group
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High Quality Content by WIKIPEDIA articles! The Tits group 2F4(2) is a finite simple group of order 17971200 named for the Belgian mathematician Jacques Tits. It is the derived subgroup of the twisted Chevalley group 2F4(2). In the classification of finite simple groups, it is sometimes considered as one of the groups of Lie type, though it is not strictly so. As such, it is at other times listed as one of the sporadic groups.The Tits group can be defined in terms of generators and relations by a2 = b3 = (ab)13 = [a,b]5 = [a,bab]4 = (ababababab 1)6 = 1, where [a,b] is the commutator. It has an…mehr

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High Quality Content by WIKIPEDIA articles! The Tits group 2F4(2) is a finite simple group of order 17971200 named for the Belgian mathematician Jacques Tits. It is the derived subgroup of the twisted Chevalley group 2F4(2). In the classification of finite simple groups, it is sometimes considered as one of the groups of Lie type, though it is not strictly so. As such, it is at other times listed as one of the sporadic groups.The Tits group can be defined in terms of generators and relations by a2 = b3 = (ab)13 = [a,b]5 = [a,bab]4 = (ababababab 1)6 = 1, where [a,b] is the commutator. It has an outer automorphism obtained by sending (a,b) to (a,bbabababababbababababa).