3-Characterizations of finite groups
β Scribed by A. A. Makhnev
- Publisher
- Springer US
- Year
- 1985
- Tongue
- English
- Weight
- 302 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
All groups considered in this paper are finite and soluble. Characterization of Schunck classes and saturated formations by means of certain embedding properties of their associated projectors plays an important part in the Theory of Classes of Groups. Schunck classes whose projectors are normal su
Warfield groups are defined to be direct summands of simply presented abelian groups. By introducing a global definition of quasi-sequentially nice subgroups we prove some characterizations of Warfield groups involving these groups, knice subgroups, and valuated coproducts. Furthermore, we exhibit a
## 6 7 In Section 6 we sketch a proof that in a group G satisfying (G1), hypotheses (G2), (G2 ), and (G2 ) are equivalent. There are existing characterizations of G 2 (3) in the literature which we will discuss in a moment. Our purpose here is to obtain a much shorter and simpler treatment for pu