Numbers of Classes and Chains of Subgroups In Finite Groups
β Scribed by I.M. Isaacs
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 112 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Given a finite group G, we denote by l G the length of the longest chain of subgroups of G. We study whether certain sets of non-isomorphic finite simple groups S with bounded l S are finite or infinite. We prove, in particular, that there exists an infinite number of non-isomorphic non-abelian fini
We give an algebraic proof of the BirmanαBers theoremαan algebraic result whose previous proofs used topology or analysis, and which says that a certain Ε½ . subgroup of finite index in the algebraic mapping class group of an oriented punctured surface is isomorphic to a certain group of automorphism
The object of this note is to discuss the properties of some polynomials on a . countable set of indeterminates attached to any finite group which generalize the Ε½ Eulerian functions of a group defined by P. Hall 1936, Quart. J. Math. 7, . 134α151 . In particular, I will define some classes of finit