Groups of prime generalized exponent

DOI10.1142/S0218196717500400zbMath1386.20016OpenAlexW2751496337MaRDI QIDQ4596404

Yassine Guerboussa, Bounabi Daoud, Alireza Abdollahi, Mohammad Farrokhi D. G.

Publication date: 1 December 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196717500400

zbMATH Keywords

polynomial identitygeneralized exponent

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Algebraic geometry over groups; equations over groups (20F70)

Uses Software

• GAP

Cites Work

• Algebraic geometry over groups. III: Elements of model theory.
• Noncommutative algebraic dynamics: ergodic theory for profinite groups
• Mixed identities in groups
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Algebraic geometry over groups. II: Logical foundations
• An example of an unordered group with strictly isolated identity element
• Applied algebraic dynamics
• Self-normalizing Sylow subgroups
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