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Finite 2-Groups with Small Centralizer of an Involution, 2

โœ Scribed by Zvonimir Janko


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
141 KB
Volume
245
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


the order of G is equal to 2 mq 2 and then we get four classes of 2-groups which will be given in terms of generators and relations.

ลฝ . In the second case, where t f U Section 3 , the situation is more complicated since the order of G is not bounded with the parameter m.


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## dedicated to helmut wielandt on the occasion of his 90th birthday Let H be a finite group having center Z H of even order. By the classical Brauer-Fowler theorem there can be only finitely many non-isomorphic simple groups G which contain a 2-central involution t for which C G t โˆผ = H. In this