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A generalized Goursat lemma

In: Tatra Mountains Mathematical Publications, vol. 64, no. 3
Kristine Bauer - Debasis Sen - Peter Zvengrowski
Detaily:
Rok, strany: 2015, 1 - 19
Kľúčové slová:
Goursat's lemma
O článku:
In this note the usual Goursat lemma, which describes subgroups of the direct product of two groups, is generalized to describing subgroups of a direct product $A1× A2 × … × An$ of a finite number of groups. Other possible generalizations are discussed and applications characterizing several types of subgroups are given. Most of these applications are straightforward, while somewhat deeper applications occur in the case of profinite groups, cyclic groups, and the Sylow $p$-subgroups (including infinite groups that are virtual $p$-groups).
Ako citovať:
ISO 690:
Bauer, K., Sen, D., Zvengrowski, P. 2015. A generalized Goursat lemma. In Tatra Mountains Mathematical Publications, vol. 64, no.3, pp. 1-19. 1210-3195.

APA:
Bauer, K., Sen, D., Zvengrowski, P. (2015). A generalized Goursat lemma. Tatra Mountains Mathematical Publications, 64(3), 1-19. 1210-3195.