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Finite Groups of Chain Difference One

✍ Scribed by Margaret A. Hartenstein; Ronald M. Solomon

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
165 KB
Volume
229
Category
Article
ISSN
0021-8693

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✦ Synopsis

A finite group G is said to have chain difference one if the lengths of any two unrefinable subgroup chains of G differ by at most one. Finite simple groups of Ž chain difference one were classified by B. Brewster et al. 1993, J. Algebra 160, . 179᎐191 using the classification of finite simple groups. We give an more elementary proof of this result. In particular we give an elementary proof that a minimal counterexample has dihedral or semidihedral Sylow 2-subgroups.

πŸ“œ SIMILAR VOLUMES

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