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A NOTE ON PRIMITIVE SUBGROUPS OF FINITE SOLVABLE GROUPS
Xuanli He, S. Qiao, Yanming Wang
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Counting supersolvable and solvable group orders
Edward Bertram, Guanhong Li
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A generalization of Hall-complementation in finite supersolvable groups
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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Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs
Summary: For a finite group \(G\), \(D_p(G)\) is a generalization of the Frattini subgroup of \(G\). We obtain some results on \(\pi\)-solvable and supersolvable groups with the help of \(D_p(G)\) using \(\theta\)-pairs.
Dutta, T. K., Sen, P.
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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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