Many Frobenius complements have even order

DOI10.1080/00927872.2021.1979025zbMath1505.20020arXiv2102.03460OpenAlexW3203498050MaRDI QIDQ5037596

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Publication date: 1 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03460

zbMATH Keywords

distribution of primesFrobenius groupFrobenius complementSylow-cyclic groupFrobenius triple

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Primes in congruence classes (11N13) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

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• On the number of restricted prime factors of an integer. I
• Frobenius groups and classical maximal orders
• Finite groups embeddable in division rings
• The large sieve
• The classification of the finite simple groups

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