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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1970, Volume 7, Issue 2, Pages 173–180 (Mi mz9493)

Some complete sets of complementary elements of the symmetric and the alternating group of the $n$-th degree

G. Ya. Binder

Abstract: It is proved that some classes $\mathfrak{H}$ of conjugate elements in a symmetric and in an alternating group are complete sets of complementing elements, i.e., subsets such that for each non-identity element $A$ of the group there exists an element $B\in\mathfrak{H}$ such that $A$ and $B$ generate the group.

Full text: PDF file (870 kB)

English version:
Mathematical Notes, 1970, 7:2, 105–109

Bibliographic databases:

UDC: 512.4

Citation: G. Ya. Binder, “Some complete sets of complementary elements of the symmetric and the alternating group of the $n$-th degree”, Mat. Zametki, 7:2 (1970), 173–180; Math. Notes, 7:2 (1970), 105–109

Citation in format AMSBIB
\Bibitem{Bin70} \by G.~Ya.~Binder \paper Some complete sets of complementary elements of the symmetric and the alternating group of the $n$-th degree \jour Mat. Zametki \yr 1970 \vol 7 \issue 2 \pages 173--180 \mathnet{http://mi.mathnet.ru/mz9493} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=257198} \zmath{https://zbmath.org/?q=an:0239.20001|0218.20004} \transl \jour Math. Notes \yr 1970 \vol 7 \issue 2 \pages 105--109 \crossref{https://doi.org/10.1007/BF01093491}