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Finite groups with given centralizer of a central involution

โœ Scribed by V. I. Zenkov

Publisher
Springer US
Year
1980
Tongue
English
Weight
798 KB
Volume
19
Category
Article
ISSN
0002-5232

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๐Ÿ“œ SIMILAR VOLUMES

On the Construction of the Finite Simple
On the Construction of the Finite Simple Groups with a Given Centralizer of a 2-Central Involution
โœ Gerhard O. Michler ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

## 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

Finite 2-Groups with Small Centralizer o
Finite 2-Groups with Small Centralizer of an Involution, 2
โœ Zvonimir Janko ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

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.