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The Characterizations of δ — Algebras with Their Ideals
Journal of Physics: Conference Series, 2021 We explored new algebra structures such as δ —algebra, δ —subalgebra and δ —ideal in this work. In addition, we study their fundamental characteristics and their connections with other algebras, such as d/ρ/BCK - algebras, d/ρ/BCK – subalgebras and d/ρ ...
S. Khalil, A. Hassan
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Weights in a Benson-Solomon block
Forum of Mathematics, Sigma, 2023 To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
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Finding involutions with small support [PDF]
, 2015 We show that the proportion of permutations $g$ in $S_n$ or $A_n$ such that $g$ has even order and $g^{|g|/2}$ is an involution with support of cardinality at most $\lceil n^\varepsilon \rceil$ is at least a constant multiple of $\varepsilon$. Using this
Niemeyer, Alice C., Popiel, Tomasz
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The Alternating Group of Degree 6 in the Geometry of the Leech Lattice and K3 Surfaces [PDF]
, 2003 The alternating group of degree 6 is located at the junction of three series of simple non‐commutative groups: simple sporadic groups, alternating groups and simple groups of Lie type. It plays a very special role in the theory of finite groups. We shall
J. Keum, K. Oguiso, De-Qi Zhang
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A characterization of projective special unitary group U3(5) by nse
Arab Journal of Mathematical Sciences, 2014 Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
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Impartial avoidance and achievement games for generating symmetric and alternating groups [PDF]
, 2016 We study two impartial games introduced by Anderson and Harary. Both games are played by two players who alternately select previously-unselected elements of a finite group.
Benesh, Bret J. +2 more
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Amenability versus non‐exactness of dense subgroups of a compact group
Journal of the London Mathematical Society, Volume 100, Issue 2, Page 592-622, October 2019., 2019 Abstract Given a countable residually finite group, we construct a compact group K and two elements w and u of K with the following properties: The group generated by w and u3 is amenable, the group generated by w and u contains a copy of the given group, and these two groups are dense in K.
Masato Mimura
wiley +1 more source
OD-characterization of alternating groups Ap+d
Open Mathematics, 2017 Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
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A Survey: Bob Griess's Work on Simple Groups and Their Classification
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2018 This is a brief survey of the research accomplishments of Bob Griess, focusing on the work primarily related to simple groups and their classification. It does not attempt to also cover Bob’s many contributions to the theory of vertex operator algebras. (
Stephen D. Smith
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A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
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