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The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for Paige loops
Authors: Vojtĕchovský P.
– 0.21 Mb
Abstract
For most (and possibly all) non-associative finite simple Moufang loops, three generators of order 3 can be chosen so that each two of them generate a group isomorphic to (3; 3 j 3; p). The subgroup structure of (3; 3 j 3; p) depends on the solvability of a certain quadratic congruence, and it is described here in terms of generators.Vojtĕchovský P.
Department of Mathematics,
Iowa State University,
Ames, IA 50011,
U.S.A.
E-mail:
Department of Mathematics,
Iowa State University,
Ames, IA 50011,
U.S.A.
E-mail:
Fulltext
– 0.21 Mb
Contents
- On B-algebras and quasigroups
- Non-associative algebraic system in cryptology. Protection against "meet in the middle" attack
- On some old and new problems in n-ary groups
- Transversals in groups. 3.Semidirect product of a transversal operation and subgrouop
- Subtree-counting loops
- On quadratic B-algebras
- Algebras of vector-valued functions
- Representations of positional algebras
- The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for Paige loops
