Results 31 to 40 of about 228,002 (82)
A generalization of Hall-complementation in finite supersolvable groups
, 1969 H. Bechtell
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GBRDs over supersolvable groups and solvable groups of order prime to 3
Designs, Codes and Cryptography, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, R. Julian R. +3 more
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Finite groups whose maximal subgroups of order divisible by all the primes are supersolvable
Monatshefte für Mathematik (Print), 2021We study finite groups G with the property that for any subgroup M maximal in G whose order is divisible by all the prime divisors of | G |, M is supersolvable.
A. Moretó
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On the embedding of finite solvable groups
Communications in Algebra, 2022In 1969, Seitz proved that every finite solvable group can be (isomorphically) embedded in a monomial group with the same derived length (fitting length, supersolvable length).
Gurleen Kaur
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Criteria for the p-solvability and p-supersolvability of finite groups
Mathematical Notes, 2013A subgroup \(A\) of a finite group \(G\) \textit{covers} the maximal pair \((K,H)\), where \(K\) and \(H\) are subgroups of \(G\) such that \(K\) is a maximal subgroup of \(H\), if \(AH=AK\) and \textit{avoids} \((K,H)\) if \(A\cap K=A\cap H\). Every permutable subgroup covers or avoids every maximal pair, but the converse is not true in general.
Liu, Yufeng +3 more
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Groups with fewer than 15 involutions
Communications in Algebra, 2023We show that if G is a finite group with fewer than 15 involutions, then . We then show that if G contains fewer than 15 involutions such that , then G is a solvable group of 2-rank 1. Furthermore, we show that if G contains involutions and , then G is a
Alireza Khalili Asboei
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On the sum of the inverses of the element orders in finite groups
Communications in Algebra, 2022Let G be a finite group. Recently various functions are defined related to the set of order elements of G and using these functions, some interesting criteria for solvability, nilpotency, supersolvability and etc., are obtained.
Morteza Baniasad Azad +2 more
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Notes on Solvability andp-Supersolvability of Finite Groups
Algebra Colloquium, 2019A subgroup H of G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and HiB < G for every maximal subgroup Hiof H. In this paper, we use ℳ-supplemented subgroups to study the structure of finite groups and obtain some new characterization about solvability and p-supersolvability for a fixed prime p. Some results in the
Jia Zhang +3 more
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